{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "block_hidden": true,
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython\n",
    "%matplotlib inline\n",
    "from fbprophet import Prophet\n",
    "import pandas as pd\n",
    "from matplotlib import pyplot as plt\n",
    "import logging\n",
    "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "df = pd.read_csv('../examples/example_wp_log_peyton_manning.csv')\n",
    "m = Prophet()\n",
    "m.fit(df)\n",
    "future = m.make_future_dataframe(periods=366)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "block_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Initial log joint probability = -19.4685\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "library(prophet)\n",
    "df <- read.csv('../examples/example_wp_log_peyton_manning.csv')\n",
    "m <- prophet(df)\n",
    "future <- make_future_dataframe(m, periods=366)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Prophet includes functionality for time series cross validation to measure forecast error using historical data. This is done by selecting cutoff points in the history, and for each of them fitting the model using data only up to that cutoff point. We can then compare the forecasted values to the actual values. This figure illustrates a simulated historical forecast on the Peyton Manning dataset, where the model was fit to a initial history of 5 years, and a forecast was made on a one year horizon."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "input_hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EEXKbuDZbVQz9fautrU2rBRMRHUkVYddffz1WrFiBhx56CCtWrMANN9yQzNPH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\niIiIVMAkjIiIiEgF/w9VebQInhaPZwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import cross_validation\n",
    "df_cv = cross_validation(\n",
    "    m, '365 days', initial='1825 days', period='365 days')\n",
    "cutoff = df_cv['cutoff'].unique()[0]\n",
    "df_cv = df_cv[df_cv['cutoff'].values == cutoff]\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(m.history['ds'].values, m.history['y'], 'k.')\n",
    "ax.plot(df_cv['ds'].values, df_cv['yhat'], ls='-', c='#0072B2')\n",
    "ax.fill_between(df_cv['ds'].values, df_cv['yhat_lower'],\n",
    "                df_cv['yhat_upper'], color='#0072B2',\n",
    "                alpha=0.2)\n",
    "ax.axvline(x=pd.to_datetime(cutoff), c='gray', lw=4, alpha=0.5)\n",
    "ax.set_ylabel('y')\n",
    "ax.set_xlabel('ds')\n",
    "ax.text(x=pd.to_datetime('2010-01-01'),y=12, s='Initial', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8)\n",
    "ax.text(x=pd.to_datetime('2012-08-01'),y=12, s='Cutoff', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8)\n",
    "ax.axvline(x=pd.to_datetime(cutoff) + pd.Timedelta('365 days'), c='gray', lw=4,\n",
    "           alpha=0.5, ls='--')\n",
    "ax.text(x=pd.to_datetime('2013-01-01'),y=6, s='Horizon', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[The Prophet paper](https://peerj.com/preprints/3190.pdf) gives further description of simulated historical forecasts.\n",
    "\n",
    "This cross validation procedure can be done automatically for a range of historical cutoffs using the `cross_validation` function. We specify the forecast horizon (`horizon`), and then optionally the size of the initial training period (`initial`) and the spacing between cutoff dates (`period`). By default, the initial training period is set to three times the horizon, and cutoffs are made every half a horizon.\n",
    "\n",
    "The output of `cross_validation` is a dataframe with the true values `y` and the out-of-sample forecast values `yhat`, at each simulated forecast date and for each cutoff date. In particular, a forecast is made for every observed point between `cutoff` and `cutoff + horizon`. This dataframe can then be used to compute error measures of `yhat` vs. `y`.\n",
    "\n",
    "Here we do cross-validation to assess prediction performance on a horizon of 365 days, starting with 730 days of training data in the first cutoff and then making predictions every 180 days. On this 8 year time series, this corresponds to 11 total forecasts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Initial log joint probability = -6.79277\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -6.89856\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -8.79007\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -9.06272\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -30.435\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -10.2217\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -11.8515\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -12.6813\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -18.0636\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -12.4143\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -17.0767\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "          ds        y     yhat yhat_lower yhat_upper     cutoff\n",
       "1 2010-02-16 8.242493 8.955689   8.439668   9.457640 2010-02-15\n",
       "2 2010-02-17 8.008033 8.722100   8.208056   9.249314 2010-02-15\n",
       "3 2010-02-18 8.045268 8.605801   8.088639   9.106629 2010-02-15\n",
       "4 2010-02-19 7.928766 8.527643   8.023303   9.023126 2010-02-15\n",
       "5 2010-02-20 7.745003 8.269555   7.803144   8.763514 2010-02-15\n",
       "6 2010-02-21 7.866339 8.600783   8.134993   9.119948 2010-02-15\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "df.cv <- cross_validation(m, initial = 730, period = 180, horizon = 365, units = 'days')\n",
    "head(df.cv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>yhat</th>\n",
       "      <th>yhat_lower</th>\n",
       "      <th>yhat_upper</th>\n",
       "      <th>y</th>\n",
       "      <th>cutoff</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2010-02-16</td>\n",
       "      <td>8.957184</td>\n",
       "      <td>8.438130</td>\n",
       "      <td>9.431683</td>\n",
       "      <td>8.242493</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2010-02-17</td>\n",
       "      <td>8.723619</td>\n",
       "      <td>8.228941</td>\n",
       "      <td>9.225985</td>\n",
       "      <td>8.008033</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2010-02-18</td>\n",
       "      <td>8.607378</td>\n",
       "      <td>8.086717</td>\n",
       "      <td>9.125563</td>\n",
       "      <td>8.045268</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2010-02-19</td>\n",
       "      <td>8.529250</td>\n",
       "      <td>8.053584</td>\n",
       "      <td>9.056437</td>\n",
       "      <td>7.928766</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2010-02-20</td>\n",
       "      <td>8.271228</td>\n",
       "      <td>7.748368</td>\n",
       "      <td>8.756539</td>\n",
       "      <td>7.745003</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          ds      yhat  yhat_lower  yhat_upper         y     cutoff\n",
       "0 2010-02-16  8.957184    8.438130    9.431683  8.242493 2010-02-15\n",
       "1 2010-02-17  8.723619    8.228941    9.225985  8.008033 2010-02-15\n",
       "2 2010-02-18  8.607378    8.086717    9.125563  8.045268 2010-02-15\n",
       "3 2010-02-19  8.529250    8.053584    9.056437  7.928766 2010-02-15\n",
       "4 2010-02-20  8.271228    7.748368    8.756539  7.745003 2010-02-15"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import cross_validation\n",
    "df_cv = cross_validation(m, initial='730 days', period='180 days', horizon = '365 days')\n",
    "df_cv.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In R, the argument `units` must be a type accepted by `as.difftime`, which is weeks or shorter. In Python, the string for `initial`, `period`, and `horizon` should be in the format used by Pandas Timedelta, which accepts units of days or shorter.\n",
    "\n",
    "The `performance_metrics` utility can be used to compute some useful statistics of the prediction performance (`yhat`, `yhat_lower`, and `yhat_upper` compared to `y`), as a function of the distance from the cutoff (how far into the future the prediction was). The statistics computed are mean squared error (MSE), root mean squared error (RMSE), mean absolute error (MAE), mean absolute percent error (MAPE), and coverage of the `yhat_lower` and `yhat_upper` estimates. These are computed on a rolling window of the predictions in `df_cv` after sorting by horizon (`ds` minus `cutoff`). By default 10% of the predictions will be included in each window, but this can be changed with the `rolling_window` argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     horizon       mse      rmse       mae       mape  coverage\n",
       "1844 37 days 0.5045114 0.7102897 0.5090638 0.05883992 0.6809045\n",
       "2208 37 days 0.5034789 0.7095625 0.5080573 0.05872376 0.6834171\n",
       "2571 37 days 0.5027744 0.7090658 0.5070098 0.05859898 0.6834171\n",
       "2935 37 days 0.5024847 0.7088615 0.5067267 0.05856947 0.6859296\n",
       "3298 37 days 0.5024450 0.7088335 0.5065010 0.05854188 0.6859296\n",
       "3661 37 days 0.4806071 0.6932583 0.4991170 0.05796052 0.6884422\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "df.p <- performance_metrics(df.cv)\n",
    "head(df.p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>horizon</th>\n",
       "      <th>mse</th>\n",
       "      <th>rmse</th>\n",
       "      <th>mae</th>\n",
       "      <th>mape</th>\n",
       "      <th>coverage</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3297</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.481970</td>\n",
       "      <td>0.694241</td>\n",
       "      <td>0.502930</td>\n",
       "      <td>0.058371</td>\n",
       "      <td>0.673367</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.480991</td>\n",
       "      <td>0.693535</td>\n",
       "      <td>0.502007</td>\n",
       "      <td>0.058262</td>\n",
       "      <td>0.675879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2207</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.480936</td>\n",
       "      <td>0.693496</td>\n",
       "      <td>0.501928</td>\n",
       "      <td>0.058257</td>\n",
       "      <td>0.675879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2934</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.481455</td>\n",
       "      <td>0.693870</td>\n",
       "      <td>0.502999</td>\n",
       "      <td>0.058393</td>\n",
       "      <td>0.675879</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>393</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.483990</td>\n",
       "      <td>0.695694</td>\n",
       "      <td>0.503418</td>\n",
       "      <td>0.058494</td>\n",
       "      <td>0.675879</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     horizon       mse      rmse       mae      mape  coverage\n",
       "3297 37 days  0.481970  0.694241  0.502930  0.058371  0.673367\n",
       "35   37 days  0.480991  0.693535  0.502007  0.058262  0.675879\n",
       "2207 37 days  0.480936  0.693496  0.501928  0.058257  0.675879\n",
       "2934 37 days  0.481455  0.693870  0.502999  0.058393  0.675879\n",
       "393  37 days  0.483990  0.695694  0.503418  0.058494  0.675879"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import performance_metrics\n",
    "df_p = performance_metrics(df_cv)\n",
    "df_p.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cross validation performance metrics can be visualized with `plot_cross_validation_metric`, here shown for MAPE. Dots show the absolute percent error for each prediction in `df_cv`. The blue line shows the MAPE, where the mean is taken over a rolling window of the dots. We see for this forecast that errors around 5% are typical for predictions one month into the future, and that errors increase up to around 11% for predictions that are a year out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
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HTNP8zd/8TcMw/vzP//wHP/jBX/7lXy5xZABsIMFgcFnhSqQ2BEFoNBperzebzS5ltwCA\np5JOp3N6eioIQiQS2d/f93huXt3Oq4/47bff/sY3vkHbH/zgB5999tklDQmArYDUBjEcDtc4EgDA\n5kNqQxAEVVWbzWYul1vveK7A1YNG0+l0v9+n7VarVSgUljQkALaCdDrNtiORyBpHAgC4WViWte4h\nXIWrWzgKhcI73vGOX/iFX7As66tf/eq73/3uT33qU4Ig/NEf/dHyhgfAU0uhUJBleTgcRqNRlCEC\nAMwmn89XKhXavqEzxtUFx927d+/evUvbL7744pLGA8C2IElSPp9f9ygAADeDXC4XiUQ0TYtEIjcx\ngEO4juD4rd/6rTfffJN8z7quf+Yzn/nXf/3X5Q0MAACWia7rjUZDkqRUKnVD52uw5YRCoVAotO5R\nXJ2r33Uf+9jH/u3f/q1cLr/zne987bXXPvKRjyxxWAAAsERM03z99ddpu9frHR0d3dDEQgBuLlcP\nGv3617/+6quvfuxjH/vTP/3T733ve6+88soShwUAAEuERbgLgqCq6mAwWONgANhOri44qO3eT//0\nT3/zm988ODh4+PDh8kYFAADLxOv1zvgTALACru5S+fCHP/xLv/RLf/u3f/uJT3yiWq1mMpklDgsA\nAJZIIBDY2dkplUqCIOzu7kJwALB6ri44/uzP/uzVV1/NZrNf+tKXvvGNb3zxi19c4rAAAGC5ZDIZ\nrIvAdajVar1eTxCEXC63scGbtm23223Kt9+0Aj/X6qVyenr6gx/8QBCE4+Pj7373u7dv317ewAAA\nAICNwDCMUqlEgQSCICiKsrHFIMrlcr1eFwShXq8fHBzE4/F1j+j/c3XB8aEPfSgUCu3v79OfkiT9\n2q/92pJGBQAAAGwKZ2dniqLwrxiGsZnJ1aQ2CEVRnhLB4fP5vvKVryxxKAAA4Da9Xk9V1UAgsFET\nMdhkDMNwqI1oNLqZakMQhFgs1u12abvX63U6nc251K+epXJycvLv//7vmqaZP2aJwwIAbAOj0ejs\n7Ozs7Gw17eu63e6DBw+q1erp6SmrEg3AbGRZ5v+MxWK7u7vrGsyl5PP5cDhM2xT5oGnaeofEuJZG\n+/CHP8wHYT158uTa49kiGo2GoiiiKObz+UAgsO7hALBqTNN88803abvVat25c8ftVSPfoRelOMCc\niKJ4dHT06NEjQRCy2ezKOpWapimKoiQtZhcIBAL5fP7BgwfsldFo5PP5lj26q3D12/tb3/pWo9HY\n2EjdDUdV1YuLC9q2LOvWrVvrHQ8Aq8dh1RgOh24H1fOCBpVGwfxEo9FVRolalvXyyy/TDZLP5xft\nRO9YwW7OY/rqLpVnn33WYWgC8+Ooe3hDew0DcB0cq64VLMJyuVw0GhUEIRKJoHMe2FjOz8+ZHL+C\n70+W5WeffTaRSCSTyZOTk815Ul/dwtFsNvf29t73vvexg/nnf/7nJY3q6Yf52ARBiEQiixrNAHgK\n8Hq9h4eHjUZDEIRUKrUCwSHL8tHRkW3bMG+ATWY0GvF/Wpa16DPC7/ezHNLN4eqC4+Mf//jHP/7x\nJQ5lqwiHw/v7+51OR5blRc1lADw1xGKxWCy24i+F2gAbTiaTUVWVtn0+31OzIr264PjZn/3ZJY5j\nC0kkEolEYt2jAAAAsClomtZoNKiWhsfjiUQiOzs76x7U0tjQTGIAAABgq1BVlW+DahhGMpnc2IIf\nV2ATj4SPb1gKHo9HkqSl73bD8Xg8sizbtr3ugayaUCi0bUft9Xq37fKm7mvb5hzZwh9aFEVRFLfk\nqM/OzhyvPGXHvomCg7rjLJFAIOD1epe+26VgGIamaYFAYOleumAwOBqNti3/JRgM9vv9bTvqcDi8\nmZe3e4TDYdu2+WyvbWALf2hJkvx+/5Yc9fjE5fP5NvbYg8Hgoh/ZRMGxPfAGtJOTE5T/AgCArSWT\nybDadNlsNpVKkSXvqQGCY53wXXbq9fre3t4aBwMAAGCNhEKhF154YTQahUKhQCCwmnr/q+QpSbZ5\nCti2sAMAAAAOZFkOhUKsupVhGIPB4KnxEcPCsU4SiQRrQphOp9c7GAAAAJuDoijUwEUQhGeffdbv\n9691OEsAgmOdJBIJCu0MBoNPma8OAADAdaAivES9Xr9Ci1rLsgaDgc/n25DnCwTHmvH7/U+BbgUA\nAOAeV/CqaJr2xhtv0Pbe3l4ymVz2oBYGMRwAADAXuq6PRiOEWwE3UBTl8ePHZ2dnmqbRK/F4nP33\nCj533kDCkl/WCywcAABwOfV6vVQqCYIQiUQODw+fmvYWYBMYDocsXEPX9du3bwuCkEwmyeceCoWu\n6RNhwYLrBfcMAABcgm3bpDYEQVBVtd1ur3c84CljMBiwbVVVdV2n7UAgEI/Hr6Y2UqkU296Qmguw\ncAAAwGLAq3KDGAwG5XJZVdVkMrm7u7uZ5fAdkXxLifH0+/0vvPACBY36fL7r7/D6wMIBAACXIIpi\nJpNhf/LOdbDhkNoQBKHVajWbzXUPZzKhUGh3dzcSicRisePj42WpIlmWI5HIhqgNARaOzYTst41G\nI5FI7OzsPE3dAgG4oezs7MTjccMwwuEwq8sENh9SGwSLx9xAUqkU7wR5KoGFYxOp1WoUYNxut5nn\nGACwXkKhUDQaHQwG29Y07kbDp4NGo9E1jgRg6byJ8CX02+32/v7+GgcDACBM03zttddoO5PJ7Ozs\nrHc8YB6KxaLf79d1PRaLRSKRdQ9nq4Hg2ETC4TBLm0bJcwCWy3A4rFQqtm2HQqFcLjf/B7vdLtuu\n1+u5XA6+lc1HkqRsNrvuUawITdMURfH5fJtpy4Hg2ERSqZRt271eLxAIbM+tAraN0Wg0Go1WHxJx\n//592lAUxe/3zx8BupkJDuCmYxhGvV7XdT2ZTC5qgymXy7VaTRCEo6Mjn8/35ptv0uvpdLpYLC5/\nrNcDgmMToZB4PioeAB5VVSnKJ51O31ArcavVOjs7o+2Tk5NAILCa73VktI5Go/k/SzZ5CkLMZrMw\nb4ClcH5+Tsazdrt9+/btUCg05wcVRSG1IQjCo0ePeHNdo9HY2dnZNIkMwQHADcMwjIcPH9J2t9u9\nc+fOesdzNfjaWc1mc2WrMVEUo9EoK7woiqJt23POy5IkHR0dDQYDj8ezOamG4EZj2zbvqlNVdVxw\nsLzFeDxeKBTYtedIuun1evyfm6Y2BGSp3GiGwyFfnw7caKi28csvv3xxcTG7rhSf5if8ZIgxmIe9\nvT2Wf1gul588eTL/Z0VRDIVCUBtgWThkwcRens1mkyyanU6Hz1vkAzVkWeYFx8HBwfLHem1g4bip\nnJ2dtVotQRDi8fj+/v4GilmwEKVSiZREo9EIBALTMvJ5TwQRDAZXMb4F6fV69XpdkqRcLjdxDk2l\nUkw5rdh76PF4QqEQqwHV6XR0XZ9R2xF1cZ4CWCucg4ODzanbxkrme71eXddzudzEsfGOP94c4vP5\nnnnmGXoQ8K3adnd3N+cYeXDn3EiGwyFdZIIgdDqdTCYzv9sPbCa83WJGYAHvifD5fHt7e+uKJNA0\nrVarmaaZSqUccSSapj148IC22+323bt3x1udxePxO3fuaJoWCARW3wjNcdJmD6BarbK6OKIobkhb\nCjA/w+GQGQZOT0/v3LmzIaqxXq/TpaXreiKRyOfzE98WDoeZnnB0mQ8Gg8Fg0LIsXnCsLCJqUeBS\ncWJZ1o1rlHDjBgzGSSQSbHvOONBoNBoOh10b0Sxs2z4/P282m51O5+HDhw6F5PDyTNNPZGlYS9vV\naDTKloCFQmG2aOPHz4Q+uEE4rkDDMNY1Ege8T3xGR0AyY8fj8VwuN7H6y3A4ZEIkn89v7PpzI1Te\nhkBzKE0oe3t7DiG5UVAuH9XqiMViG3t5PZUMh8NmsynLcjqdXuI6icoTaZoWi8Vm5NCv0RPBYxgG\nb5Lp9/u838ThQ9nAiAdRFA8ODjRNkyTp0h9xuXVxDMOwbXsp3bnAnPC6PBKJTPTxrYV5Li3TNFut\nlm3bxWJx4rXKu1k3ymE0DgTH/0dRFLZ8OTs7SyQSGxsYQdNlr9fTdd0wjF6vd0NzI28cuq6zKg79\nfv/o6GiJbZbmKUIVj8eff/55TdOCweBabAOEwyTgmMH9fv/BwUGz2aQE741NH51TCVE8jaqq16+L\nU61WK5WKIAib3Ln06cPj8ZycnDSbTUmS0un00k+7bdv9fp8Cihf64KWXlm3bp6enJO7L5fILL7ww\nfjcxySIIQrvdhuC4Gei6zv9pmuZq/Hy6rpP7LZVKLbQWFEWRBdhns9lCoeDK+AAHv6xXVdUwjNUv\nVb1e79rXx5IkHR8fUw2AaDQ6Ps/G4/FNnvjmwbbtRqOh63o0Gk2n00uxbZDaEASh1WrF4/HNLAf5\nVBIIBFxKvbZt+8mTJ/TUXzSEXxTF2ZfWYDBwmBLHrxl+4bHGRcg8bPTgVkwsFuO3V6M2bNs+Ozur\n1Wq1Wu2NN94wTXP+z/I+P1b+BbiKQxFuSOjZirFtm+obBoPBw8PDp7X6/tnZWalUqtfrDx8+dKQi\nXw3Lsmb8CW4og8GA2Rg6nc5y09QdM8zElQazjEYikWlhpxvCNk6X0/B6vc8//3yn05FleWWLs+Fw\nyM9lvV6P1z2z4W1rWCqthnA4nM/naZ16eHi4nSbxSqVCApfKZy13jjMMQxTFTfDC8IK+2+1e32vp\n8/lisRhLa4Qb9Klk/jmh3+/X63VBELLZ7LTkdp/Pt7OzQyk2uVxuYvpJIBC4d+/eykzy12HTx7di\nvF7vigPxHIp13KVSq9XK5XIkEslms44ZKp1O9/t90itP6ypzA8nlcgt1/Hr64NdwSyw9x0dtFwqF\ntXcRYlXMhSnlmK7AwcGBoiimacZisU0QVWBRLMtqNpuDwSAcDieTSVEUg8EgC+FPJBJzpqTquv72\n22/TdqfTmRicQWQymXQ6bdv2DHeJKIqbrzYECI614/F49vb2KMZ4Z2fHcbH2er1yuSwIgqqqqqo6\n6hl4PJ5bt27puu7xeLZzqQ3Wgt/vZ6XBl5jx3+v1WNR2uVxOJpPrnUMLhUKlUlEUJZlMLitnTRTF\n+U2YYAOpVqtk3mu327ZtUwjqwcEBKe/5q/CNp47PCDgVRXGeGd6yLMuyNll5bO7ItodkMplIJEql\nUqlU6vV6+XyeTeLj6ePjJpC1xw+CbSOfz9u2reu6z+dborHHEcC0dhNxMBg8Ojpa4wDABsILBVVV\nmWl5ttQwDEOWZV40OJT6FVLHTdNsNptUMSwUCrFSqpucAAXBsRGwUvndbte2bTbNOdLHN7CeAdhC\nJElyI+Cf9xjGYrHNKZYAAIMXwfNconwOC1/eyev1Hh4eUn39q1X0OTs7o3igRqNx+/ZtVkq11Wol\nEonNjBCC4NgIeEsGM1YLguD3+2/fvk1lptCtHjzdyLL8wgsvdLtdSZIQBA02k0KhYFlWp9NJJBLz\nhBm1222Ww8LKO5mmWavVRqNRPB6/mrfOsiy+qQq/LWxSKVUH2yI4DMNot9s+n28zi3JGo9FppfJD\noZBjzJqmlcvlTqeTTCaLxeKGJ14z+v1+s9n0eDzpdHrFbqBqtdrr9WRZzufz27BuVlW13W57PJ5M\nJrPJDt1xZFne5Aq/AHg8noUasTochbZti6J4cXFBOVDdbleW5fnDekzT1HXd7/c7pv1QKHQjEqBu\n0mR0ZUaj0Q9/+EPazmQyE2vRr5doNHp4eNjpdAKBwKX5JqQ2BEFotVrLdaK7h6ZpLCR7MBgssUDn\npXQ6HVZtybKsp94rPxwOHz58SNuDweDWrVvrHQ9wG5LyZARFRNemEYvFmLMjkUiQUOAzrlVVnVNw\ndDqd09NTQRAikcjBwcGtW7foTk+n07FYLBKJdLtdy7JWVkTqCmzosJYL32+pXq8XCoUNDKiJxWLz\nX3Zse7lFZtyj1+ux7RUX6OTzNhVFoRXGar56LThqoZqmeSPSL03TrNfrmqYlEgn4U+aHl/LD4XCV\nUn6jME1zNBot2nm41+sNBoNgMOheE0Sfz/f888+To9Dv91uWJUkSb40Yt7n2er16vS6KYjgc5tef\npDYEQVBVtdFo5HK5F198kf1XkiS+AaTw46lv/sSZFbAVguMpuwPT6TTzv9yUFGXs3+IAACAASURB\nVDvHTbVKAR4Oh1kZ1lgs9pRdDOM4TvWNUBuCIJyfn5OSbrfbt27d2lib8KbhkPKUOrTG8QyHw0ql\n0u12V9lsodfrPXjwgLZv3749p9+82Wyen5/Ttks9z2zbprIrHo+HyYWTk5OdnR1RFDudTjabpXYq\nDMuy2LF0Op1gMDjxcC4tU/vkyROyoyxabd1VtkJwZDKZbrdLZ39j84UuZTAYVKtV27bj8XihUBgO\nh5FIxCFpN5ZQKFQoFKiCWSaTWeVPEI1G9/b2ut2u1+u9Ee6naxKNRqkWajQavUHHy9vtVFVdo+Cw\nbVtVVdu2o9Ho5s8VDn3JGw5pMS0IgmEYtVqNGhG7HSJTKpXIxlar1QKBwGomKLYAo+89PDyc51N8\noKVLPc/Ozs7Gm87XarX9/f1pgSCOeM/hcMgEB6txLIyF+jkYDofsezudTjqdds+EsxBbIThkWb5z\n5069Xvd6vTdlwefAtu233nqLthVFOTk5WXsdxkXJZrPrGvMSCzfdCG56LdQlFhNbFNu2Hz9+TJli\n4XD41q1bG645Jkr54XBID35S2xcXF6TnFg1RXBTSauxPRxmheTBNk2xdsVhsd3d3TlOobdvT/qUo\niqIoPp9vvEks/6cbzwXKVFj0U16vly9xy4SCZVnhcPjg4MCyrGg0OvvMOE7I5lzDWyE4BEEQRXGN\ns9j1ccjewWCwlMMxTZPmoLUs5qgb580y1QCXODk5KZfLiqJkMpk1tpkdDocsL73X611cXOzs7Gx4\nIti4lK9UKvTEUhSlWq3y1qOFujUtiiiKrMi38JNlhOaERcTTvLS3tzfPp1KpFDNX8B4KRVEePXpE\n26PRaHd3l/9UPp+nT0UikaULdNu2pzXUdPhQHIiiuLu722g0bNuOxWKtVms4HAaDwWq1Sm/Y29u7\nVIcFAgH2Q8Tj8c0J49gWwXHTcVxhS7mATNN87bXXaDsWi81ph1wi5XKZehdRVC80x0ahKIqqqj6f\nL5VKrUCMBgKBTUgg4kMiBEFoNpu2bc/52Nsc+AWuYRh8iKLb667d3V2v16vrejwev4JfTNd1tj1/\nMYloNPrcc88NBoNQKMQ7lfiaRs1m0yE4AoHAiy++aBiGGyFllUqFJjciHo/n8/nRaBQMBmfEy9Ma\nrN/vRyKRnZ2dBw8eUGUw/kDOzs4utddStfV+v2/bdigUgoUDLIYoiicnJ7VazbKsZDK5lFmDN352\nu93RaLTiGhX8DdntdiE4NgdVVdnScDAYrPKJS0vDfr8fDAaz2eyKrQvjt0Cr1bpxgiMcDrNHFLUT\nYyGKbt9lsixfp+5AJBJhI1/IQOLz+Wa3fZiW+uRSADufP0hZrMIclUlrtRpFaZBxgtTGOE+ePNnb\n27tURmxg0SkIjhtDIBDY399f4g4dbsvVR7fw1tf11uPSdZ3EHCsJbNs2GWBisRjf3WZL4OPpVvzE\nZXOuoiiWZa2yao6u61dwui8Fy7JarZamafF4/PrPiWw26/f7yVlJe1uoVtUaSafTsiz3er1wOHx9\nbZTJZEajUavVCoVC0Wh06SniVEWUiiE59hwMBplymn9y6/f7bLvX6yUSiYkXZLvdDgaDN7H2NATH\nlmLbtmEYwWCQcrXz+fzqa8Xs7OzYtt3tdpPJ5HpjYM/Ozsje02q1nn32Wb/f32q1yABDtXS2rXwW\nP0WuOGGEr5tyhajD61Aul8fn92nrbEVRGo2GoiiFQuH6V+/5+Tl9db1enz+xcwasrs9gMOh2u36/\nPx6Pr8C0rut6pVIxTTMajc4OVpiIKIrL7c27t7fn8/kqlUq/37+4uHjuueeWlTasKMqTJ09oW9M0\nh0s6l8vZtj0cDn0+3/zpwfzYWKBrq9XKZDKZTOb1119n/+V9TzcICI4tpVQqsVyypUxwV4DaF63+\nex0YhuEoluX3+/lHHf/f2YxGI9u2nwJzSCqV6vf77XabfMmz30yNIWg9PZ4LsCi81llx3UxebdA1\nEIvFJh5+q9U6Ozuj7XK5HA6Hr3MH2bbNf7WiKHPujfJdKWCCRdpWq9VKpRKLxeiZx1f4XYG56OLi\ngsxj3W7X4/FsQqEglkoqCEKz2VxWdRA+3MfRykQQBFEUr/BFuVyObF2pVGpvb0/X9b29PWZfTKVS\nzMmyCSf2CkBwbCl85nq3291Ab9/KcNhC6YEXiURYiEksFqM5K5VKzXgEnp2dUfSr1+ulYhgbW2D4\nUkRR3N/fn9OFVyqV6MAVRRFF8dLa/LOhx2S9Xk8mk/l8/jq7WhS+pF46nZ52IKwPOGM0Gl3nDnJE\nR86/BD8/P6dHXafTOT4+DofD3W6XrtVut9vtdvlDqNfrbgsOMliyPweDwdqfi44CWUsMCeKVsSNA\nRNf1TqdDpT9ZKRRHe3oHtm3btu3xeEhhyLIsy7LDjLGzsxMIBHRdj8ViN3TGvqkTIlgiN/e5uBRE\nUbx9+3a1WiXzOHkQWHcbn89XrVZpGq1Wq3fv3p04Z5GrmLZ1XW82m6ZpLt1xTjZ86kK33oKSPHzr\ngF6vd03BIUnSzs7OihseUcgOqY1wOByPx2ccxbjF6zpVlfr9PjNCCIKQTCbnjF1w9AtVVTUcDjuc\nULyYXkHBeFEUo9Eoi11Yezamruu8GyISiVzByzONZDI5Go1qtVosFuONGaZpsi/tdruHh4enp6f0\nS/Ht6Xm63e7jx48FQYhGozs7O9NiPiRJuubNtXa2+kmzzRweHtIlHovFlngT3lBCodB4TiZ5wR1P\nF77wH8946SGKh1UUpdfrUVr8pb6G0WikaVo4HJ6oabrd7sXFBW2bprkJSaQEH9q26DPGNE3SK8lk\nco1F+TqdDjNo9Xq94+PjGW/mx+n3+/f3968j/ni5JgjC/PG5jouEzjwvfaLRaDabHY1GdCmuphZc\nsVikGI5IJLKoeYMMA7IsUw/36w+Gt+MKgrD0RjOFQmHcb8KnsCqK8vbbb7OwJNaenr3Btm3eu01l\nyvL5vENwU8vZG1q1kgeCY0uJxWL37t2zLOspuIhnQL0MqIPi1aypDh/KNJcKX2mHoD9ZA4XRaDTb\nQcAb6ieGtm1sFzpqDGEYhs/nM03zwYMHuq7Lskw1ADKZzLQVm23bp6enrETVGhuPOWzX4+e22+2q\nqhoMBhOJRKFQoLifaDRKZSeu89X8ZblofO7JyQk1LsnlcvR0D4VCh4eH7Xbb6/Vms1lN0zKZzCpb\nafh8vqsl0xmGwQwDnU5nKXp6LQU3HQZj/rYVxi6ter3uUEWCIFQqlVwux66rSqVCVb/S6XSxWHRl\n0KsCgmN7EUXx6VYbgiA8efKEREAkEjk8PLyC5vD7/Ts7OyQFZj9dDg4Oer1eq9WiUkL5fJ739Dvm\nnXH4N7darXF1whsPNqrNBzmehZ/shkUMh8Nms3nv3r2Jox0MBsyApKpqv993+CYURWm32x6Px+3G\n6/yT3tHhr9frlUol9vONRqNCoXDr1q0rCz7y1rNLMZPJDIdDOg+LZrsEAoHxsGuWn7KZ7bumwZsS\nFUXRdf36v3g6nWaGK0fVr3EodHc0GoXDYXI/GYZhGIbf71/o1FHo9LiMEAQhmUw6pqBp0wKTSpqm\nsRqjjUYjkUjc0OgNwnXBYRjG5z//eVVVDw4OXnrpJXqx3+9/9rOfNQwjHA5/4hOf2ARvNDlEKd57\nE8bDaLfb7XbbMIxAIDB/C3sgCIKmaczkoKqqoijxeJyCyBZSHpSTNs87w+Ewe2QqisLPJtePVovF\nYsViUVEUj8ezma1S+GJHPNQ3fPz12ZVghsMhX5faDReSZVnlclnTNJ/Pd+vWLUqs4N3kmqax1p1s\nVLSx6PNb1/Xz83Nmb2erVa/Xe3R0pGma1+tdYkjjaDTi23elUqkNb8DrMAzMOBXTpB4zKOZyOdLr\nPp/vhRde6Pf7fr//0lmdFT6m9m+maVIiUiQS2d/fXyjQrVgsGobB2zsFQSgUCuPTSDgcdrxNEIRk\nMsm+jpwpDBYD2263VVUNBALjeWGsZUQ0Go1Go4PBwOfzrTjhaxquC45vf/vbxWLx13/91z/72c+e\nnZ3RSui//uu/fuqnfupXfuVXvvzlL3/zm9/8uZ/7ObeHcSlnZ2f0w5fL5eeff35Dfp7BYMBSvQeD\nQavVKhaLNz1uaGU45ixJksrlMjU4YFPSUtB1vVQq0bROrTd0XWcPS0EQIpHIpV9XLBZZiMa0qBo+\ndYK8AI4L1bIsildNJBKrr6UWCoUmLuym3U1+v581wKSAR3416VjyulGCulKpsAGrqrq7u+swsYwv\nQK9sJyiVSrx3v9FoxONx+jpRFJf+Y03rZzYajSioaPULZdu2W61Wp9OhU+24yCmik9I+i8XiROMr\nC7CNx+N7e3v8DU7uOdquVqvhcDgSiei6Tl1/BUEwTbPT6YiiyKIoDMMol8uUg7qzs+MofMxia1RV\nbbVaixqfMpkMUxKhUCgej09ctNBJYNKh3+9LksSkoWEY/KgEQbi4uCAbDEvKNQzDEUfCgkL48KD9\n/f1NKOXsuuC4f//+3bt3BUE4Pj6+f/8+CY6TkxOaNyORyCY82i3L4mVmp9PZkCJu4/OdoigQHHNC\nlgAySCYSCa/Xy9opVavVJT6SWcepZrNJzhTHD5fP5y/9rnQ6HYvFNE0LBoOXrnTPz89pak6lUryt\n+MmTJyyh5so1jlRVpWkumUwu1EctkUhQO0CW5+n1eql25LSP5HK5UCj08OHDXq/X6/Wy2SybPR1n\nzI1cKj6nYzQaPXjwgMq+sRcdMbDzVCWZhiM/U1ikV8g8KIpC9eDJCEqt4cnIEYvFSNmoqvrw4UN6\n/4qXLo5knPPz83A47PiJd3d36fROu/5ZRY1Op0OV79m/HFE4uq5fXFzQczeRSBSLRdY3qtPpHB4e\niqJYqVTokdxsNiVJ4jvOjOv4acelaVqpVKIM5EKhwEYeCoVeeOEF0tDs+mcFV2KxGL1IaeTsh3AY\nsEulkqMSHV2xfAmQcbPiRNHfbre3QnD0+316eKfTabZkefbZZwVB+M53vvM///M/n/rUp+jFT3zi\nE9/97ncFQfja17629MlFFMUZk69jNZBIJDbkoa5pmuOVcDg8/9huqLdvNBpJknRlJconnqXT6Wee\necayrEAg4Lh1Q6HQsu7Al19+mW3btp1Op8PhMCUBETs7O0u8pFVVZfV/ms3m8fFxIBCgBH0+T9I0\nzStcxoZhsMNRFOVnfuZnFko8ucI38vNjrVaj9UmpVGImolQqdXR05JiLaZFKYzNNs16vezyeRfvM\ndTod3uow8RDItC6K4q1bt67jySKnHv/K/v7+FS7yic6p8/NzdrpOTk5Ig6bT6U6nY9s2ZUj1ej3+\nkT8ajVY5yzkqlwiC4PBezYAVd+FvtPGP12o1dl+k0+kf/OAHtN1utx0tZIPBoN/vZ9pLEATbtp97\n7rm333672WzmcrnnnnsuGAyyW/jWrVuOu0BV1dPTU8uyNE2jm44CLGYEzFar1UePHlHx8mQyee/e\nPUmSut2uJElkg6nX6+VyWZblg4MDEojzFNoPhUKO85DNZscb1W7IStV1wUFW1uPj40ajwd+u//iP\n/3h2dvbJT36SPRQ/8pGPkHBTVXW58U1+v9/j8Tj6QDo4OjqiOzaVSvn9/nG/2uo5Pz9n4UIej4e6\nPvKWutn4/X5d12do883k9PSUnkD5fP4KIdmJRKLb7Y7bk2llwIoERKNR27aX9Svzd3ggEKDd3r59\nu16vi6KYy+VmX3uL4thbt9v1+XyDwcBx1A673Zzw3RyEH5uCJr6TuW9m10O7FP4SjcVinU7Hsqw3\n3niDf3H8xwoGg1Q62jTNH/7wh/RiMplcKNQjlUoNh0N2lxH8F+m6/tZbb9H2a6+9dp0wi1gsRosu\nn88Xj8cTiYTjVM8D60XggC+mWalU+HANURQpOu2VV17hP0I5qIsOYBqUDjYcDnVdDwaDyWTSMYeP\nr50kSZpnAPQ8pndmMhnmYggGg46P7+7u+v1+y7LoZ53x7aqqfuc73+Ff8fv9hmEcHh5SEK6qqvQg\n0DQtEolomsbvwbbt73//++NDbbfb02LsyuWyIyqc6gQyg8fOzg675iuVyrve9S6yDk40VzASiUQ2\nm3Wch2w2y4djEwcHB0t/qF1hwea64Dg5OXn06NF73vOe09PT97///fTit771LVVVP/axj/HvZFWS\nHF6r6+PxeCRJmm3AjEaj9+7do+hxR5zOWrAsi58HKW6RuR7n2YPX6zUM42YJjl6vx26wSqWSSCQW\ndQpYlmWa5rSj3t/fpzs8kUhYlrWsk5PP52VZHgwGkUgkkUgMh8NaraZpWiwWI3PLco3nPp+PV04+\nn8+yLPoKVl6FrCxX+F6HJYYm4onvfPToEY3h4uLizp07VzbhUBl1WiZms1nDMBw3oKZpNAaKAqYn\nLt0RjtC8VquVy+UWumby+XwkEiG9GIlE+OPt9XqOiNFer3flYlYsXmQ0GkUiEUokXnQn7Id2wDut\nJs5144YcOtWLDmAitm0/fvyY/4per+fwPfEOi2g0mkgk6CPj0RgOWKVOQRAKhUIgECAx0ev1fD6f\n44PMFW7bNvtGuisHgwGdf7/fz8rSE/l8PpVKjZ8Nv99PTp/BYDAYDFhn+WktfmbccePF4vioXioL\ny/93OBxSfT9BEMjNSvVUaOXJj3z8QqKGvffv32evHB0dRaPR5c5CV8N1wfHe9773C1/4wuc+97lc\nLre/v//mm29+/etf93g8P/rRj37/939fEIRf/MVf/MAHPuD2MOZBFMXNyRxzjESSpBlj63a7mqZF\no9H19ly9Pg4FMC3wbSKUBfDyyy9HIpFisTjxVMiy7IZdURRF3p18cXFBT8FutyvLsmPRMxgMarWa\nbduJRGKhCAn+6w4ODpjg4C+MWCz24osvXqdEhyRJJycnLO9/mulC13VHgaOJJRRN0+z3+4FAYIYJ\nRJZlspH4/X56nFPpJzYd0wkcDof8HEoBgOPxLlfI9OZzi3gcakNYpOj4OLxlotfrLTdKLJfLGYah\nKEokEpnYwsMx8usIxHH6/b5D0IyXUU8mk9TANhQKBQIBplbHozFmIIpiPB5ncqHb7U6r3TJ+j1Ag\narVaHY1GDsUwe07gdefh4WEsFpt4Me/v78+4nR1XaTqdnt1xib5ClmWHlZcv7SOM5bAwAoEAswal\n0+kVFJmdE9cFh8fj+ehHP8r+fPbZZymAA8yG7hBKW4hEIjPaJ5ZKJbqwSqXSycnJje4cRrHltBqg\ntfv8n6Xa5IIgqKpaLpcd9QmoPQe147p+arFlWY1Go9frhUKhbDbrmPL4NXev1+O/zrIsZqLvdrup\nVMo0zYXicghJkmbMbtfUzYFA4NKi7I7n+sQpmI8TpJma/69lWbVabTQaeTweZtYajUY0w+7t7cVi\nMXIj0s7H/dn0rIpEIqzkGpma5j/ShTg4OLjOzvnPLj1S3ufzHR0dWZY1zVQQCAR2d3epSsrh4eFy\ng+TG3SUTn3ChUIg50HmBMv7xGfD+RFVVh8MhOdeEscteFEXHJTcxbTsWi1E8aSaTmRgRzDs1ms0m\nlRA8Pj6+uLjgdzjbv5DL5UzTVFWVLYcotoafK4LBIBnjx6eUK7Czs0MybqM6V2zQULYBy7Lq9ToF\nk+dyudlXVTqdjsfjl1ae4T1Q7XZ7Kb0QdV1vNBq2bSeTyTkVDLk5g8HgdSZlSZKogwk5bhe663ix\nP24aubi4oICyVqs1/vBblFqtRjYAKmPqOOe89dhx9hxWTRoSHe+yWnKvBkmS9vb2aK2ZTqcn1ngY\nn6n5/5ZKJRbix3+EBAetZfl/jc+b9PSitaymaZIkLXdu5T3o1++oXCgUKBIlHo+71JRudnxJKpVy\nqYmB4yIPhUKXzkJ8NMZCN6PjJy6VSkyCTOtUwggGg+zGTCaT9FxnkRP1ej0ajY5fyRNnITrGarVK\ngTizI4c0TVMUJZFI8LUHqT9iJBJhtfKSyeSlC4+FPHobJTWIjRvQ0w3/oLJte9ptaZrm+fl5p9OJ\nRqPFYnH+5+5Slne2bZ+dnZGZoV6vz1OVhDf0XXNqvvKjl+INaXvcQs4/27rd7jUFB28eH182Uanv\nTqeTzWYd655pZ1JV1RskOCjAaDgcZrPZbDZrmqZpmuPX3ozrttFojKsNYcqzp9Pp0EKWbwxWKBT4\n9GM3ivXt7OwEg0GKxbl+HzKv17v0Zn4rQ9O0wWAQCAQmeiqp4jurajrPYRYKBQrJjEajC7W+I/8L\ni9HmDR5nZ2fxeHyG6spms5ZlDYdDn89HxjCHcYXWA7ZtVyoViqKgal3MusYcYayEcTgcPjo6mvGl\nmqYxTaOqKp/GIopiKpWiohp+v3+e8+Dz+Q4ODmq1Gl35b7311niBDV3Xy+WyaZp+v79QKGxOnIAA\nwbFiZj+oGPV6nbX+KpVK49WLeVh+TTQaXcoKZjQa8SFO/X7/0lADvsJMs9lcSzpuIpHweDwUvjC+\nTOGtDjMiXUzTrFQqmqYFAgEKyJr4Nr/fz55843ujSWHiB0VRpAgJ27YNw2B5ChSrOLuB9eZQqVRo\neaooSqfToVl7fH2ZTqfZhcFfmXwXOoIiAaPR6PjSv1qtshQM1rlbFMVwOLxQiM8VEEXxUhXYarWo\nPinf/GJ+ZjhBNgc+iGFa/aj9/X0y4F9qEKX1DD3C51ycUAoMteZpNBqaphWLxWQy+eqrrzreaZrm\njPMpiqJjjcfHXws/9gQ1m00maAzDCIVC+Xw+GAyGQiFS1XwJ416v9+jRI0mSphmt+WjQdrtNDiC+\nligLTZ2TeDze7XbZo2S8wAYVIRQEgaoSL1qyzFUgOFbK7AcVg49pckQvj0P5NaZpLsuA5pg3N6rQ\n+0Rs26YudJFIJJPJNJvN8fQTmmi63W4ymZwRr1cqlegZqSiKKIoTTd/D4dCyLEpQTKVSi9ZmoAgJ\nKqXv8XgokqPX69Fj9fj4+Dq9zlcDf32yNeJ4J8xgMHjnzp3hcBgIBNjFqeu6Iw01lUrNMOPxuaP0\n8y3rKK6PoigsgFHX9YUyctlTPBqN7u/vL8U2qWnaxcWFaZqZTGaheOTBYECxRBN/Bd41NqN+1Jy+\n10ajwQwGb7/99osvvij8uCIWdZZwTIy2bb/22mukALxeLxX46nQ64zE9FO5D2R8+n4/yxYTL3BAH\nBwetVsuyrEQiQb8Cv9xSVZX+jEQi7Pd1nCWystDE7vF4/H5/JBKxLIuyEBy/LCXHlsvlF154Yc4f\nvdfrkb5PpVIkiWYvSxx5W71ej0w1m1BjE4JjpeTzeSp0n06nZzyoeO/APPpUFMWF1EatVqOksolB\ndlR5hlwk+Xy+VqtR4awZK/50Os2E1IqLtCqKQgaeWCw2o+qO3++fbSgieFNNtVo1TdMRJa7rOsuV\noPivaeeEJIUgCOON6Q3D+NGPfkTbhUKBClqwL71169al41wvvG6ejcfj4a1NtLrl7XzUcHXGHvhT\nt0Sf9GAw0HU9EonMb2AYfyjyYmjR/r1MdSmKUq/Xp0V1aJp2fn6uqmosFpvdud627bfffpucAqen\np/MrV1aRMxqNHhwcjJ8Q3u8wwy47JxOTM8/Pz+nWq1Qqjsj30WjE7A18OVFHFZNYLHZwcDAajd58\n8016pVqt0sjpX9N+GkmSUqlUqVR6/fXXqQXBxGx5VVU1TaPfnTrxjhfXYr8py90tFoupVEpV1XF5\n5Agnnwa1X6btbrdL5YOz2SybqcbDPpLJJPsvS8mxLGueCdBtIDhWiiRJxWLx0npWiURCkiQqsO9Y\n0tm23e/3vV7vlQ0PrVarXC7TtmmaEx/S8XicVh6PHz+mpyZZ56aJiWg0eufOHerRxSuYFbRQZwUW\nu90uVQm8zt4clXb4hheEI0jeMIyJ6wbLsh4/fkxro3a7TaWU2X95WcN+C7bP64x/NdDTcTQaeb1e\nvrbjpb+1pmmOA7xaYvA1YS11hEUSRJnbvlKpUAV0/rlIpTXm2Y9pmk+ePOHPw4wCCaVSid7Z7XYf\nPXpEF1uhUBi//UejEb+fVqs1j+AwDINd8IqiUGEMx3v4O9pRQXwaVPRTFMWdnR1HxkosFmMnnyY3\n6rHC3tDtdvkTO+dZpQhQfnHPdFK32x1vRMzTbrfpJJA9I5PJTLwN+eukUCikUinbtsvl8rgRmsmy\ni4sLKj+6u7trmubrr7/O3jNnESBHBi8FoPj9/rt3745GI5/PN75ipLrGo9FI13Um7i+1lK8GCI7N\notfr6boeCoUmZm+apnl6eko3Q6FQGDd+mKY5HA6psuqMr2Db7XZ7hlVA+MnLdPbixuPxOL60VqvR\n03RnZ2c1Zo/rV2yj9Q0//Tn26ZAX085zr9djc5aiKI52qTPmUBJMtm3ruk45ctPeads2pd7EYrHj\n4+NZR7UgqqqyHKWJgkCSJJZAmM/nFUXxer3zNCMdF2dnZ2ezvSR8oMZSKhfZts2vTefsy+Uo21qt\nVj0eD6Uq9Ho9SZLmTzxptVoO+9AM1cUfPlvTW5Y17r5xXIpXW5BMy8hgF/M8Li3KS6ftR48ejfsO\nisUideilyB7Hl46Xntvf36celjQldrtdljxPBINBur+u5jVwhI7yTe1Z5ioFD/Fvm/MMUzy1JEm0\n2mTRS0+ePDEM49KJ0eFgYu4hihoRBIHqr8iyHAwG2W1LHmSqZ0rv3xBfJATHBsHHx4XD4Ww261gc\ntFotdpuVy2VWe5TgKyMdHR1N81wGg0H2QL10fclb5xaKLRiNRmzSKZVK8XjcJQ8ib5O4/nJZluXd\n3V26h+kVx1GHw2HW4NRht3DsZ8afyWRyvLWEIAj5fD6XyzEruiAIFJUysapBvV4n60K32338+PFs\ne/v8mKbJekwoinJpBziPxzPnXDYajfgOuozZZrBgMDjtt1gKc7pUHCNkFvJisbhQ6IYwSRY/fPhw\nmigPhULj3quJ/ixqJUOXxPyltDweDyuX7vB/MXK5nGVZZNCaR1c5FtP9sjTL2gAAIABJREFUfp9d\nwFTPWxCEaDRKzVGpdBuLfI/H4+OX0+3btylGmL8U+acpddJOp9OJRIL5L1hL1VgsNh6aWqlUqtWq\nz+eLRCL8VBmPx30+371798iWQJksMzKu+YN1lAEVxooJpdNpXdeZ3i2VSvSjU10fXdcTiYRjqLIs\nU5MEatLkmEV55yz79nq9Trctf1wbUhMSgmOD4BsiUPPMhQoC8gU5HJ1reKiI72Aw8Hg8l6bLM+sc\nX3zMtm0quWOaZjAYnPiYH2/e6JLg2NnZoWYHfKFV27YHg4HX673Cl4qiSLVATNOMx+PjFstcLnep\n44Y6KpESGs9fkGX53r17/X5flmW+eia5Y6vVKpOVZON95plnxuUjb2tttVoOwTFnus04jtUeTbsz\n3m8YRq/X83q9l6YbPH78eLzE03jTDQe5XM7j8QwGg3A4vJRVGtn5SfBR0es5P8XKxrPQReGynliU\nhMn3CxUEIZFIOMJmhemiPJvNer3e4XAoSRL71DRhvbu7m8/nTdM0DIMFHMyGpgK2TcEijvfQGbt0\nV4xwOMz7Jdmlq2kaW70oisKSRZ977jm+s4Rjb5Zl9ft9j8fDrhNqNO94G6v9tb+/v7e3R2/u9/uU\n2zKuF+lkappGEo0yZql9Ce2H0kmePHlC8iWXy00UW3zxrng87rCPzlnVgzV5bjQa4zd7KBSalvXG\nS09e69BlyWeel8vlTUhXgeDYaDRN4wVHIpFgK+Pxp8icWYLTki8mQuHN/Ct8dAIxcXHG3zOONcRy\nGa8naFnWo0ePaIRkM7jCPq/fSLZYLNJXT5SMlNgpCMJzzz1HhlDWxn3cuauq6vgJjEajbGobP8Zy\nuUzTjaIokiTNfxKmmXAnous6c0tPK9TI4Ff21OqT2pjNHg/rFDo/7Xa70+lQK4qJipOSOKjN2PxS\njJWNZ1mdwsw4Vt7ieOvWLfbs8fv9zz33nKIoJArZ+6knbSwW41OIbdumuL9wOLy3t0cZB7N/zYuL\nixleVweOSWPGHEJd7izLIuPEjH1Sazo6RXyf5Gmnul6vU/D1+Bv4jFxatVuWxdzKPp+PSVj+QmL7\nmSaCx01Eo9FoPKaSD/asVqvpdHr8597d3ZUkSVEUioaJRqOFQoE37iaTSV5uplIpJhxpkWDbNm8m\noWa2E4c9zjT7HDWf48/nhlQ3h+DYINgSiuHINPN4PHfv3qUF5XgSWjqdZreHSyUFBS5PjH9lXHDI\nsvz888/TE3GecMLrw+bKTqfDRlipVDKZzPVLHVB0WL1eTyQS8yeYzWOd8vl8jud0KpUa74w6/kGq\nsKQoCjm5HRE2/OJmYn/ROZmtYvnY+3q9TlWGDMOoVqu6rlPvOsMw6vU6mbjYIoyKFlx5VDPo9Xrk\n7xcEwTCMaf6OidYvTdNKpVK3200kEvQgGf8g6XXTNBVFicViM2yEfKRIpVKhsOtUKiXLss/nI+s6\nLzjooqWAGPZ44EueRCKRk5OT2YEs/MU/7nWdeB6Y2zQSicx4LDHxRJfc7JCd/f398eAwr9fLnD48\n49cnFd5wdOar1Wq7u7v9fp8doKZpu7u7siyHw+GFMpjGJ89xQ2a/33d4ACeGecqyzPudFUVxqBxH\nTTyv10vWTZ/PR1eg4weaP/jGtm2q7jXeTK7b7Z6fn+fzeWb2RgwHcBKLxe7evUvFlKgf2PiURzW/\nJ348FArduXNnMBj4/f5VFs+Ylk3u9Xqv/1Bpt9vtdpuC8maYiFlDmZOTEzca5NZqNdp/u922bdvV\nkpH0XGm3271er9/vFwqFaZN7PB6nhd34T8CHtjhmwG63q6qq3+93rIGIiVHx04Y68ZF8fn5OK7Zu\ntytJEh8jGQ6HyRNHFe0WMtTPCR8TTVaE+UtckNoQBKHdbnu93mlighqXXLo3R7wnhXz2ej322WlN\nR1nQg2mavJ9UVdX/+7//m79+w5zs7e0lEgnTNKPR6DRp7og7ocbIV/iu3d3ddDptWRZrsiNMCi9g\nCUE8dF87RhiNRseFo2EY5XKZmkLk8/nxg8pkMpS6Qn9SNqzjPfwIhR/Hdkw8KMf++UijiQ2hmHWT\ncXx8TIYcamcx8VvGmXiWGK1Wa3d39+7du3QLb0iZ840YBGBQU64rBz96PB63TWeRSMTRadqlxhCC\nIPT7fbZa7XQ69+7dm7hc6/f7bF6+f//+888/z/6VTqdnmzeoqRsFr83omcTbD2bc5MsiEAhcsycO\nGRtGo1EwGOTtT3wRek3Txh/5jvlRFMVutxsOhyc+5BKJBOVSCoKwu7tLZ4+3D6uqypuvI5EIEwTT\nWldMhA27WCzOsOc3Gg3eZhCJRBZ6NvMjv7SjGHnrLcua9ihKp9PjlwqvgaY9A1j2AYsH5FFVleYH\nwzDoWcJ/eyKRYHkQ88fuXPoryLLMV+S8Tilhsi7kcjnmWXCYYyeGaLC38dFR01xmpVKJbG/TSm2K\nonh8fDwajahq7aUP43g8PiObLxgMsiGl0+lwOHznzp12uy3LsizLL7/8siAI2Wy2UChomlav1y3L\nSqfTvNkyHA7funXLMIzZDaSGw2G5XFYUJZVKFQqFSyci8lKtpe7zNCA4wGJIknRwcECNBrxer6u+\nEoetdVrRC0eAqm3b5HiSZfnSm61er5PDtdvtjrdhY0QiEXZ7u+euWiJ85ioP/0wd7yEuCIIsy8fH\nxxQV7/F4mFWZKk+Mv/nw8JDyF9ijndejoVCIN6E7ZvY501wpG5y2Ly4uyH7OGimz77Usi6+YHgqF\nFrWgsHwNYY62RCySqVwuT+zSHAwGk8nkcDgURZGvUsUU8LgpjuJOKCZpvFQUQfKCDxDhy43Lsnz3\n7l2Kslxu4+jd3d1KpWKaJmVSUNr2lW9/KhauaVokEnGM07HPnZ2deDzOp6gUi0Va5Ez7jfhTN82f\nKIri7PPDO0oudQoXi0WSNTRBUcki27ZfeeUVekOtVguHw+xuarVafI8qVntN+HGoysRvYUVZms2m\n42bc2dkZDod8vKqwkjJIiwLBse1Q1Z1+vx8IBFKp1DzhDhTCvYKxOeTCtIUIb59MpVLU+nlOSw9v\ngZ9RaISK/FAptk0I9r4y/Fw2zZAWDofplNLijGi1WkyNmaZJNeCTyWQwGFRVlSIZaefUu86yrFAo\nlEwmfT5frVZTFCWXy6VSqW6362hdcSkOQTkcDpndiwpO06zqeH7P3+iYwT+cZtd0cVQwu3///rjp\npVqtsgcAS2y5desWewaM32uyLF9cXFxcXBwcHEx8mu7t7dGtx7taWq0WH+MsSdLV/B0TsW2bCo2E\nQqG9vb1+v1+r1Uj/RSKR3d3dK3tvp9XZJK1M0fGJRCKbzaZSKT7thSya5HQOBAJU74dCWemKunIy\nP8/u7i5Jong8Po+RYHx2clxC/FQjcD2qqPY0e73ZbE5b9jhqrrOYP2ozSyeEFVq9NHxnLUBwbC6D\nwYBizaZlZC2FZrPJ1oWmabIvMgzDtu2r5bKapkl1hSlscOJ7KGPQ4/HMmLCCwSB1OpBleYa/w+Px\n3Llzp9VqSZL0zDPPdDqd+dt6BQIB9vybfbDpdHrRdIkNJJvNaprWbrev4wurVCo0obdaLTaz67pO\nRdn53nV0CfEFs8dbV1yK43fh9YeqqoPBgJ4HHo+HJUcIczQ97/f7zWZTluVMJuP1ejudDp/vOvs5\nOj7yi4sLx+XBh2hQGXWHjAgEAo7KtsyPc3p6+txzz8myTA8t1oKV1Zbg7wXapoauwWDwmvFbuq5T\n2lQmk/F4PI8fP6YbhJoQ8ZENqqpWq9VlFYAhbNuuVquDwSCTydDv4rjrdV1nY2i320dHR2ShJNfe\n3bt3Sa9QMn84HL6yPXJ2epRt2zTPxGIxWZapqocgCPl8nhKgQqEQ1TVhKiEej/NxxEwNO4TytMge\n4SeFFDV7unfvnsBdDH6//86dO6qq0lfT5bRRzbAgODaXt956izaq1WogECA5bJomZaksy8bAq2a2\nwmO1n+PxOMWBL7TPi4sLmvcpbHB8Jc2XTA0EAlRiQVXV8TzJOSNamKf20qGSGZ8tR3K5nGmazWaT\nled7upEkaWIGwUT29vZYbSV+8p0Y36CqqsOEy1cwY609LMsyTdOyrPlFocPC4agrxa8s9/b2YrGY\nZVn0GJixT03T2HNrOBxms1nmtREEIRaLzbZjkUXHUU7DcfihUMgRztLpdBzPP+pywGsOxpMnT9gS\nmZ5t/M75KgupVIp1FBIE4fDwcJ4mHfywKbIkFouJosjynOv1OqVB0Z+tVmtckdPv2G63R6PRoo3m\nJ1KtVumsKoqiadr+/r7DDuRwkTjMBoZh+Hw+Kumtqir1+11ujK0gCLZtMx0mCEImk2EGp0qlwqKI\n7ty5s7+/32w2TdMke9vR0RHFcIiiSMk+wlgi2LRz2G63KQyWKZJut+soYSz8WHYLnJsmlUrNble0\nSiA4NgjTNGu12mg0isVijjoQdJHxcWQUhXT9L+X1L83drVaLKfFOp9PpdBadwngfaq/XG1cM7Xab\nCZ3hcDgcDtmcO62cw/z+SNu2p72ZJbOwsydJ0u7uLrshLcuqVCqj0SgUCs2wqdwUDMMgc0IqlVrI\nWGVZFitGtLu76yjPxVf/ZIw3E+ErmNXrdSoWydqI1Go13o09A4e7mo+HoMo0VNyJmoPPGXDt6Inj\nmLVn9PoiaCHOvzIeoUlefD6IdWLMyjTfjaM5meOSDgQCL7zwAqWkeb1ePp2+1WotdLeenp4yYeR4\nMjnGMO41iMfjlC4uCEKtVjs6OrpC0PpgMOj1en6/PxqN8nqi2+2++uqrd+/e5d/s+KV47SvLcqfT\nicfjrEFgp9Px+XwT50nDMLrdrizLJLMWGrCmafz1z7u3eKhqPp+pF41GSawIgtDr9TqdTrFYZAtL\nesNEk0y322VuRJ5xLUWFW0zTZDNqs9lMpVKrcYJfCgTHBsEbBhxh4SR7+ZigWq1Gc5yu65QDFo1G\nr9CyhJb4rVYrHo8XCoV6vT5edfvx48fUy21O+LDBXq+nKIpjGpqxuh2PZKSm21SHYJrPuNFoXFxc\nRKNRls6QTCZZ3gQxHA7Z1FCr1RKJBD952bZdKpX4RlbkE53/qFeJqqp0LMxvPQ7/dK9WqwulUzYa\nDfYLUlP4er1OD2YqtCqKIv8oDYfD46so3lZM3WGoliV7sdfrzVNgTRTFZ599lroWOyLzmbSl9eL8\n6V0OEcM76edpw+Ywuni93okFOtPpNH+WJhKPx9lRJBKJfr8/sR4rGTn4K1aW5YmxGrMHT6v/QCBA\n95Gu6zP6Jfl8PnYvjwd43b59OxQK8ZahVqtlmqbP55sd9NDtdrvdrtfrzWQyfLkLSn13aFlFUTKZ\nDL0YDofJYddsNofDoaNQh2ma5XLZ0Q2R/6VM0zw7O3NYyKi52ozRjnMdkwnvVeHT64QfBySxP23b\nJqezx+OZ2ExuvDQtbznmcaNSwNWA4FgdvV6PfMZUrnj8DbxhoFQqFQoFv99vGEYikSDBMTGi8+Li\ngm4hVVW9Xu/sOdeyLMdOZFne29tjjtildCstFotkpxUEYTgcjjdw4kumOhh/fFImGI3twYMHu7u7\n7D31er3X67EukSxFUxCEVqsVjUb5s+FYSpI1eDAYSJIUCAS63a7Dsu1Y3m0I1HuMPcYoxMdRFqLV\natEJcTzd51/4OsokNxoN+r0URbEsq1gsJhIJ/lFKwaGOnfAVzAzD4FtlEvMbXfx+P12ip6en07IB\nh8PhpYKDyUqKRqzVapFIJJvNRiKRQqGgqqqjDdtoNNI0LRQKOZ4x42Elb7/99sHBgePqdTzbJgax\nxmKxo6MjEnNU9ZzPFw2Hw5IkNZtN8m2dn59PrHOfy+XYd81YdfT7feZIotwWx2zgSI2h+Bt2jziS\nIEi08esiMogKgpDNZskkQ4Eg/KcURWH2mNFoxA+gUqncvXvXEUTZbrdfeeUVeiUcDh8dHcXjcb78\n12wc+x9vmtput/lyqPNATSEcyoa8Y3z12InhazNOOK8UqaURncxisTixBBG1X2DlicnuMn5aXC30\nvCjbKzjYvZdIJFjtfffQNI3V6B2NRiy0noc3DGiadnp6Ov6cpqpNwo9zAYSfnNQm+i+IwWBQLpep\nV8J450PGxPOwaLAktSTgVyrD4ZD3TVLJVCrSYBhGKBQiQ4ggCMyooGkapeHxaxRd1x89ekQpmu12\ne5pqIRwW7FAoxCZHarzCHLFUZtvx8XXdpWwdFo1Gi8WiY2C8GYZg0Wr0Z7/fZ4EXPAtNqfF4nK29\nqMkW+1ej0SgWi469Tdw5VTDr9XqOGt5ENpu91OXfaDTI1JTL5ejnoBrYE1NG5wkgqNVqdPba7XYi\nkeDtdtls1mHQ4q19Du8PGV0ePHjArjEqqH9wcMBirSiRh9/huOBgX7Gzs0PPJ7LAkxEil8tJkjQc\nDvlb6a233qL62fzegsEg9Sv3+/0zEs34FGU6A9S7gD07HaI8EAjwhRx4OcUq8efzeUrg4sML2Dp+\nMBg45jremdXpdPh9UuWxYrHo9XrZkBzz26uvvnp4eOiwMM2AP6Jpn7qCxSKbzVILRoq/zuVy7Cyx\noFH+h2C+2mAwSLaZ8X0yZ4pt2+fn50xYX1xc3L17l2p48JnbgiBomkZpYqzhIg95BmfX9lgx2ys4\n+FBnR3EkN+CnbFVVdV0ff8Lt7OwYhsG/k4IJ2J9U9mA4HPKFmXmZMmPOrVQqpFS63W6tVmN+TVrz\naZpGpRWpP7uqqpFIJJfLUWWhK/hlHU/r8Ye3JEmxWIytubPZrGmakiSxe4PcKBN33u/3/X7/pUsc\nx4JeFMWDgwO6jePxOF+TqtFo8B3eqQPqWvwp1KqDflBFUcrlsqOq6cQAw2q1yguO8TfwE+I8/D/2\nviRGsuy67v34Q0T8mOfIyMg5sypr6KbstmSTIkyJkK0NAVsLe2vCMAyIMLzwygBhQIa9Mrw3vJMh\n7wTYsrywYMsWBBGgm1SbZFezq6urOueMjHme/+TFYV7eev9HVHZ1s9lA6a4iI37+4f033HfvueeY\npnlwcDAajQzDSKfT7Xabpj/TNE9PT6UpbBWjRiQSiUQiEpv18fFxq9VqtVrz+ZzfGPCk1LHH4zHV\nTw2HQzgHmqZtbW2RYlYikZhOp7Ztp1Kpu9SC8pRBv99fH0vn7myn05GgAOFwGC3DvxyNRqlUynGc\nDz/80H/C4XBI84xlWVdXV9SHb25uksmkYRh+qSP/cohIHjIa9CXplXOzLEsSWfUbhh4P9cP86Uva\nJ2iaRpeORqN7e3vg/vdXWIzHY0lGjn/WNI2PcYI7rLol2Pn5OR/aoVAon8/btg3ot2VZfGbgTZRK\npfwRjtfAcNDNB+Kvw+GwPyBRr9cxchGS5ACgQqGQTCa5wh9H1ZBtbGxsbGxw9SJx25jX19f+2ysU\nCp9dPftztzfX4eAG3NkvdIGRhm5gMBnpSX9/4oaCeP5NpVJRVdW27Xg8Doac0WhkWZZEK84HNvf0\nG40GrWGgryiVSjs7O3DPXxt2rmkaVJUxHdyF3oNPrK7r8hvm5Y7i1n2JRqO0g4zH45isDw8Pa7Ua\nhJ79jRwKhbjmLf/JMAwQikPw4pU3PBqNUJD5+XIekOwczJ985f4lGQ/eSrJ5WAwCp9T1OFzTNKmn\nZTIZ6Gry+Ll08MqnEiKZTNKcCAFxmnxHoxE8CQLfJBKJra0tVVUlPAEnKU8mkxsbG57nTafTTyWz\nxwncPnuRc7lcnkwmfvYOqXSCDHEggJpJYo0McjOUv3jl1fv9/vpmpzoFwjPl83lOZkVHxuNxaXUH\nK4//nNgn+L8HYAWVFNJP9NRwMYkqlEp8YRKman18kfdb13XhogFFBOhDp9OxbRuFx/wSqqqOx2Ni\nmhe3jH+DwWA4HGqa5td2/lyM7xMWi8XW1haBQCXReQlVI4Tg86eu64VCAQILxNrOZwlN0xAior7x\npaL/enMdDl7TLISo1+uBS9TnZaZpVioVABtXUbJMp1NEng3DANP2XWJ9uq7zUvjr62s8V61W4+r2\nyFjjM5+jJZVzkltDSvKz2BpVZW6j0Qg0PplMhlxykBfRjAxmm1ar5XkeTUzZbBbi2pqmEcmxaZrZ\nbPYuIKlkMkmXyGQyCBrdsfCn1+tR2mJzc/Pz4h71C+P5VxTcIYCc4rYkYWdnh0LHkBXt9/uA7/kR\nu7gQYrB+aC0ZzVO0bnElbhjWnmw2i1pEP4QNkeFUKnV4eIhy7mQyGVhNStjD0WjU7XalhEsikfhc\nihtB4IaaiFduMDY3N8lP4uuW67rNZnM+n0ej0YODA2KTFLcLYaC3GovFotEo0M2Bl4tEIjzHRwNw\nVRnL+hzZcrmkRQ4UbbFYLBKJPHr0CPka3p7xeHxra6tWq9G1qOOh0Al+RqfTAdOotA8BIjjQ29jZ\n2cGFqJhlMBjAmZDcsn6/rygKTWWpVApTFmjoeJ8BxRx1Rek9gpZwFTtIIpFIJBLdbpcHAkejEQ1n\ny7Iwsl478iHY2KEPfLmJRqPpdBo8GX69YqmfS1rci8WCpnEMLrAJ8AekWZRqzQBR+jIgOd5chwPz\nLA/28nDuL8L8zFEoyAYtI1UhCiGWy6VEtv9Ks20bMQDuRQ0GA7piqVSKRCIol+fLmMQWAEMA+bOL\nrIrbyUjTtMCzOY5DGPXRaMRpfSuVSqPRAKcCogiSfrQ/+PypTFGU3d1dYlH8VP/LW2w4HH5eDoc0\nX5fLZX+mD/tjIYTjOIT2jUQifPpGYLnRaMxms263W61WJfwaZXx7vR5IUPiv3W4XC22pVIrH47Ru\nSd4GmKzA241FNx6PV6tVGkStVgv/MhgMptMp4mrA/NL6kUql/NM6/MVoNLqzswNNClpUPiOjtvg0\nBG7ZbDaRSGBVoN6LRA/cdDgH3A9D743H47TAlMvlTCZzcXExmUyIBVKyZDK5ublJMCYhRKfTIWg5\n6kWlwFIymVzzFK7rShELcsFDoVBg2DKdTmuaho4Rj8fz+fxyueS0HM1mE/2z2+0eHR3put7pdIC8\nhifhl1Xb2tpSFAVaRYF8P5L1ej1yFBzHwWGTyYT3bWJBhCi8FMMINECIwBmayWT6/T7PQcRiMX5v\nBDyPx+MI9DqOg/rBVCrlRy9JRoQoqIBFbnpzcxPaRpZl4YYXiwVPS3EDigVeaTablZ5OCvvhzpfL\nZSKRsG07FovxKbHdblM9QaPRuIvi4C/a3lyHQ1GUcrlMDgdQhNIxtm0jjb0+szCbzSgUv2YfxkNb\nSNXDRQAsQ1r116OiJpMJwPO4Z8dxAnWe+NhQFAUpZ4BXKpVKNpt1HAdLGoY0n9ReOadDztQ0zXQ6\nvergQOonbmu0ScPh8GcRZQXbKYhxVqlYKYryegkR/palN44JC/rjn3Zd9E/Z/jNQzc5wOGy326tc\nLmkDx10KKZd0dXUFNgL8ads2TccA7QaePxqNUmiEvIfxeNxqtWhrzss7qT9fX18/fvx4d3cXHAk0\nn3L2JICjUctAvCyu615cXODZd3Z2otHoxcVFvV5PpVLrlYTXGB52OBxiyfevJZKK/Xw+l9B5s9kM\nNVkYv6jdrVQq1WoVt62qKkbKmtuIx+Oapq2qFVcUZWdnBzkCvKZIJMK7Cri9qdxGCFGv1/lWCiJ5\nSBwgVhHYM+Px+KNHjyzLCoVCHF9CbUWfUQ0hHcDDikDiLxaLy8vLNYoB4mUVN4454FQ9kiG5FkgJ\nCHdcGkccFBUKhSRCC8mhIRuPx0gANZtNTNRoPbhEgSrEqMjDZ5pLx+MxkFjI+DiOQyo8fn4jQvYk\nEolA/2DV1gg8NNQIeL98EVmFh/uC7c11OIQQqqo+fPgQWvD+VXO5XD579gyf17BszedzYm6ZTqfS\nLhzmj2BDdR2/np+f+zeyaxZCHpXFKh44YHiGAmZZFuHgINkghEgmk1tbW4VCgU/o8MdX3YBg6Ppu\nt+vHi/DDaNZAdFQ6QMpVj8fjfr/v5z17DSNsCsocoKI5Ho/T6fTm5uZnDN6USiU4o5Kw9Xg8phln\nPp9/WtZnqTUCsX6rsDiS8QeU4nZoDY6JOT8/Bye0/5ztdtswDLgOmqbRqrO9vR14e3zVAS2K/xgo\noUuJno2NDYQTEomEpmkUDABjGOL59Ozn5+dAKYrbUkwIXoDb++6uXr1ex1IE5ptXvi//QFNV1TCM\nUqlEG4ZOp5PNZnnO4pUJPjyapmk0lpHjowOoNMlxHNTp0E/T6RTtAA8AisocMWCa5s7ODvimMBgT\nicTOzo6/iTA/DAaDSCSy3kuYz+eB3kAoFEKDbGxs8LHATUqVYuZpt9vpdPouCU2UDRPQh/9EkTmJ\nW5Pv5QIx13Tz0pvCpo77zbZtLxYLzCQSLdCqUhFx2wE8zwOpMT3++fn5/fv3FUWhd41CQiHEaDSq\n1Wr+vLau64eHh+12GyAn6pBYL1DegtDa3t5eMpkkv/MXXRVxR3ujHQ4hhKqqq+LhfEZutVrQXPCP\nUj7whsNhoOfrj2BLwfNkMknbu2g0WiqV1hSG8CUHJ5R2ZsfHx6iGWiwWfAgFMlIPh8NutwtcEmIt\nCJ9gEl91D/ypA8siXNe1bZvvj2ezmf+coVAInE6e59m2jemA9mGrrn4X4w/b7XZpF9Xv98Ph8CoP\niSxwq0Sm6/ru7q6f1IRPbTw+fEcLh8M7OzvdbhecY9LJQeTFv6HGREItFApRUKRcLjuOgypoP1gB\nN8Z7ODihcQ98SRBCQNITBBXL5dKyrGQyyZfDWCxGfZJ7iuAnnUwmhmFQlWMqlVoVlCYnWxod8IGk\nWIvU64gBAuCVwMCPf4vPL3QX6Vq/j4XIv+SlSbfKMbMIp0ur9WKxQKgvlUrt7e1JOT6Im+Bzt9tN\nJpMY2oqiGIYhxQhR/sYdSnSJyWRCFx2NRvP53F9AS4w+gd5GLpebzWZo9lVKtq7ruq4LKsJVbtbe\n3t50Oh2NRrqugwgE9RfSYalUirZV2WxWKnQCNwwfxbPZjBq52+3ydOV0AAAgAElEQVR6nlepVPCA\nPCG1JtTkv+HLy8tOpyORrZ2dnWFukaRkVrUJbmA2m2FfKnn/2NNSGI/3nFUdMhqNgjHdsixM/tls\n1jRNx3EGgwGl1E9PT9966639/X1w4n32LdznYm+6w7HGpNFYr9cDvROpA/mXKClSis4KSmB8AxDW\n0dEResanKpuGcwMebmRtNzY26JZs28bMoqoqwNuBJ6GerSjKcDjE2tzpdNbAIf2E6NwokckD3bZt\nX1xc+BMrxOnEtUmxUr76+VcbpyyUhu54PF7vcFAMaT1/vP9d8+d9jVpiIQRKhQF8keDl3W6XBwz2\n9vawQjuO85d/+Zf4klS+DMNYU5+CfCJfk6jPhEKh7e1tia+QCqqxgZbOlk6nB4PBbDZLJpPSy02n\n05jpwJWpadqq10q0KwAQ8GIctGQ6nSZcAg5YRSkdCBEI3OJzV2lV2hQgU0VRFouFv/6QFhJiofDz\nLKGatN/v93o9VGcEXkjcAioLhQKNIPA9SIddXl7i3aVSKd634/E43iNWr36/n8vl4G5KfRX3LFEQ\n+bFcQohcLod4Z7/fXxMeEEKYpkleoCRgK4SA/BMcQV4AtcrQaPBWK5UKLs2niNlsRt2bg7jpBlzX\nxVioVCqXl5evx+OHepZcLue6rqZpEjKGz6h8GjQMY2dnBxwH0Wg0kUgQ11lgVJKI//lJ1rgIPMgN\nibvT01MJPSqE8DyPlJ+/JKb+3u/93i/7HmT73BkeNU1TVTVwf+8327avrq4uLi7AKcv/K3C6jEQi\nhG/a3d3155IVRQHxBv4sl8u6rquqiqhpOp0GUTQCquFw+JXehq7rcGMRz4fPAdqMYrFI3Ws+n3/4\n4YcQRkkkEp1OZxXLcrVapY7ebrfpkRF7D/wXRBoh+7KxsSEFdSge7kcA9Ho9cDP4zzmbzejSnxYz\nC0NGBj4WBrCqqpqmSYM8HA6v0rAVQti2TRGp6XSKglv/YaPRqN/vu67L33gkEoGTB2qmT8W1RbZc\nLp8+fdrpdJrNJr86oJd0GC0VUAXDl4hpETn3mr6ELDgY9KkXwRApAcmm9F/cNSE7PT1F/18sFoQz\nkAy7dhBJBd4PQNOQfceiC1Qd0SxiJwc+7Fwul8lkNE2bTCb+jSlSMNKXo9GIVgvoGKN0MBwOa5qW\nz+ez2Sy/N4TcFEU5Pz+H0HxgFpyujmQHJFtbrZZpmoZhtNttqCPFYjFKL1KIaJUGHspV8Od0OoW/\nhbUNmSPaqywWC+rbiUSCCP2gmIhAKR5K13WUdPFrYaTQYKR5TAixsbFhGMbs1hKJBPEWkpVKJR4w\nyOVy5KSi/5ODsr+/XywWgbeFcO58Pr++vr68vASMnYPbxG2/VRQlHA6jZA83hkJoenbMPyhx8k81\ni8UCU6uqquFwmKPpU6kUwpyVSmWV28qNor9SaErXddqSAZKPd7q7uwvZXkzpQoh+v0+vGyNOAqsi\nRIe3HIlEtre3C4XCqiBHu92myBZ4aNA5eSPE4/FkMvm5AP9X2afF2os3KsKxXC5vbm6Gw+H6LD6y\nmOJ2f6AoCk00/mVysVigksJfCMCNrxOkpm0Yxusxf8RiscePH6MKkU+R0lTOmXc5cRNZsVgEWpAv\nqHzhWVOzo6rqayM6Ly4uAjfKGxsboVBoMBgUCoXXCAD2+33KOJTL5UKhgH0ep3OGrQeKSjMXHAgU\n7ubzeUwflC0WQlQqFUI+AlP2GQW7eQUgtj6Bh1EDSi2JW71LOjwSiaw6TNM08Dk6jsPFpQJ9L76M\nfSpqfITf0Y35cj6dTpPJpD/rrOt6PB6/ubkhcEChUDAMA3GRTqeDjbU/Pk8QVDL0c7jU0Wi02WwO\nBoNMJgNPBbuONTg71O+MRiP+sgaDAS0D7XZ7Pp+TcjoEcvkZ9vb2lstl4M5b+ga0DSjoLRaLXLuE\nWzQaXV9kt7m5iag7/5L74giOwl1Op9MUThiPx1JGA8bl16vVKj8VHPHHjx8vl0vDMMbj8SeffIIV\nF7EHItpBUCcajXIABKZTxJZ4l0PpHG2cBoNBsViMRCKr0jc0NGKxGKGSeaGptBXZ2tqKxWKu60r1\nROgt/v0DX3E1Tdvd3bVtW1VV7j+BYJBfCPpHIEwKHC8AqwY+EYy3STqd5lNWLBZTVRWE1B9++GG5\nXIbCnz9F+0uxN8jhIIBYv98HzivwMP7ylstltVqFNBrAaNLB1C+RDQnsJVJKZRXs/1MZ0rf+7xeL\nBYJ4km/keZ6fMCpQQRRMo8PhMJVKrco7YCJYU03qV+6WDLN/NpvlO9HPWJYiUSAXCoXpdAr37uDg\noNfrTafT+XyezWbX46fArEqLTTQaJexwt9sFuJJfazAYoFbzNcpSAk3SPKMPUhiJ4snIQfCN2nrE\nn3QtMC5DVJNPSdTHqEhPCHF5ebmxseEHt9LubblcPnnyxDTNWCwmUTlJxhXVBUtJiLU7J0LVwRC0\nyGazIPxepVYqeRtCiOvrazyI53k0iofDIVjzOUA10Ii4hfdzSYGWNybgh3ROsP3GYrHAaC7CIf4v\nxe2mP/CWms1mJBJZTy7p758IZeFBWq1WMpkslUqapvmFh/xnQxtCiETTNJ7UQFPgbmezmYQelZye\n5XIp6ZJcXV3FYjEad/CBAIeUAp94Io6OpI6UTqc5Cc3Gxgbca94IEJ+i+yG6l0ePHnGeAvyj1CZg\nNJfaRHJKqBSR7m17extF7IgYRaNR0zT9uar1M0mxWAQ/ChQ3uYZUNpuV+KXwwbKsz7gR+lzsDXI4\neC9fk16JRCL08lCutuo9Sf2v1WphDZZis9gZ85K/134EbpZlARtFRHUcJl2tViVWQU3TwFmOGOMq\nATlkH9dc13VdyoWvElpEwBBgQ13XMf6fP39OB6CFUa4J2kHxumkUMr4eg2GFghBUk3YXUxRla2sL\n6ZJMJiNFoW9ubhRF4U4kldVNp9PP4jCBOYPAm7BUKrVYLG5ubkajEQ91cPwy+FVd16U59+6pnGaz\nyde2fD5fr9ex1yfMXS6XsywLSzuActJjVioVaUVB5rvVagUqjcGkNXWxWKRSKdd1E4nEGvhOoB+A\nB8e0C49wPp/3ej3kMgL9SzAT+FU5wAm2aleAqQB1NEIIXdcfPnwIsRgJQwD+BvpT0zQkiahP1uv1\nVcTq0utTVZUwCmC2XcX3uip2SAaSSv4NH5XiVscVnzkmgwNouE0mE2reZDJJEw48GKzH60uCxcvu\nAplURVUul3FyEP0h15DL5eB+ITaDlAT0SkBV0O/3eelpYMtAxM5xnGQySXMIciiTyQQMzpSo4v8Y\nWOnDjbiRyODbiZe1ZvyQI8Se15xZiqSCeW86nQKxISn4wF4Dw/6LsDfI4aCFTQhh2/aTJ0/gHuJV\nTSaTSCSC7BrlhheLxXw+D9ylQZyJf0PhE+FjTd7Y2IjH45ZlBabA726O4wBY5HkeEfK0Wi1ovPFB\nOxgMKpXKgwcPEPDARbe2tp4+fYrk9M3NDYKWwO2nUqlAuOt0OtV1nS+BvP6+3+8DksL/C7lqzv6J\nBrx37x4YefnMRdym+MypUe9umBey2SwQAKDV429nfcWN31RVpTcobSipkVE6yDf3EBC/Y5BjsVgg\n0kYtTzUC4ja7hFAz1SpDmQ+oDn9WCFTf4JT05xRWGY+FYKMJv7zX6+m6TlFA7qD7N7uJROLg4EDK\nW8GIVtJv/mAyMBM8b00kpxS64KM40AA+pZZEUbRf21PcRo+k3ou7zWQygVfxxw6RlPQjAV3XnUwm\nyDhkMhngLqXIDdh1/cvDeDymLUo8Hud7fXhyqVTq4ODA8zw/rgL8p4EtI4SIRCL379+ns6236XS6\nubmJUiwAL/yvjLceZG+vr68ty4L3HA6HU6nUqihXJBIB2iYej0t12sK3uku1qbFYrFKp0Jmhn0Cp\nFr6EDwaD9fBzRVFWHeBHQJNDls/nXdd9pVsgfUO+y6r42eHhoaZpr7FGxONxmhMymYz/TX1JdFXe\nIIcDMCjMsBjkWCEymQxFXJHeg9Ip3lm325WEImHAkeGzYRiqqlIvH4/H/uTL69UsAIVnmiYI+7CI\nptNp6fxAlvn7t2EYfP2WKui4IGG/35dEHW3bJjIxDlOQTFpfB4MBrfSEEoeFw2EIS67SZBJCAJ62\n6tdAazQaFNa+f/8+ii+kgtX5fH5xcWEYhl8se73Ztt1sNqPRqG3b0qKC7EwsFuOlqnf3NiiMPx6P\nsdPlaRrLsshpkDIsq+qGXg8+wuN54XB4VV4GdSj4HLieRaPRwAVpzYy8sbHBnUJVVbEVhu4orkir\n/tnZGfbuGxsbiNKjeFs6Zzwen06nUuoQkad4PL5YLEC4h++x/CM+BMKuVCpFMj33799H6Wan08Fz\nQWFLOrPruihNDPRpUMEIYi44i7yVTNOkxCV3AoAoR7FSLBbzK6IRdsGfJ33lWvWpsn68KgeaDEC8\nDodDOPFSTgHbKvpzPp/jqdE4PGQibn0jLJOAgPBYCG/qTCYjhUAmk8lwOOSuzKqg1OdIHg0GNkSb\n2u12u93mATwQs/LLoeKXd3KalKQcKCwSibx48QIEbuQfABtrmubdJy6UPUI6GPLIgPa/3lN/vvZm\nVamYpplMJiG7hZ8wB9GQBogM8FL6d/+2RgjR7XZ5yplcGXEr0vHZb7vZbF5cXAB8EIvFOKNULBbj\nE02xWMQzcrr+brfb6/UMw+AVj7yX84lsuVyC25i+abfbNP5HoxFtdpEiwf/m83nJce52u7xt/UAZ\nRVGg1Bo4QUjlEnRvl5eXl5eXs9kMkCj+K8eaqapaKpVQLxcOh2mSchwH6BaUJwB1iNDr+j3K5eXl\nYDCwbTswhw2WScdx8Or39vbWy3KKW/IfTj0JxVRFURANxpf5fJ66nG3btEQVCoXA9R5SJusvLRmI\nUqLRKCCNuq6j2ohGH/CYcKwNw8hms+hjoCeRll4MHFR8YEMshEgmk+Vy2fO8TqcDZSyog97c3Fxe\nXiKaiMElIfbBBcKpvtFQ2CCaphmNRh3HkSYKJMj9pQSYf3Vdj0QiqFGE60muGxL56P+QGhBC4EKg\n1Ukmk9lsFq+JTnt1dQXG6/F4DDpdLMnz+Zx6S6FQqNfrqJwCNzaYJyKRSLVaRRuqqqqqajQahUsX\ni8W63W673e71evCPkRuSemC3243H40CSLpdL/Ard0cDXjSDucrkMDEQJISBahn1LYMYZgLZcLgek\nSLFY9DxvNpsZhkHrqNSN0YaqqoJyO5FISKvsfD7HFAF5B/66AbmIx+O5XC5QfQYBafoTWz6681gs\nZlkWYti4vV6vhwAeurFlWRzducocxxkOh1i8cTBY0vErnFQhxPX1NbwQ5ATp3yGVQoN9sVgUCgUQ\nHKNYDwME5UJot+Vy2e/3MaW3Wq3T09PBYICwsaqqmBY8z0MydDqdYgsHAW2azUC/RjVoUK1b/6Sv\nYX9VpXIni8fjtBRlMhm+FcZnySkORGnxJT8SiSDChuT3K0ml7mKe51GEMJDDjnZUxWIRdyipqOAD\n504Ajpr4N6UT3rFHgqdhPp+jT0u/cgAUn/uA0qcMy9HR0ccff0zLErJXlmXVajVsYfk5G40GYT4a\njcaaTTyfPiKRyO7uroQtGA6HnU6H6MVs297d3V0D3g5kJpBao1qtrtI/k2w+n9/c3KDukX+PGEkm\nk+Gqv/RrPp9HgaJpmq8XJ/MbVfTouo63YFkWWIwgWIooN/E99Pv97e3t5XKJF9Hv9/18KnAloY3C\nadPOz8+J9vvg4IDeyM3NzcHBQS6Xm8/nEpIA/rrktQ+HQ13XK5WK67pcUZnMMAykqPhuIZ/PS7Vg\ngSQQnueRJvjW1haKCFCZjAOOjo74K7Ysi4Yb+T1Ajh8cHACLA9EijlcdDAalUikQrp5MJh8/fmzb\nNg+TtFotXddpkeb5OzRILBYDbHOxWKAC3H9mcct9Ln1JSAhMWTSWkWbloSAyGikgNUFnuLm5QSaU\ntHJo54MEBJHY6rruh5ODrhfZpcFggLUZ3u1gMICiW+BD+XME29vboH3zy3DO53N6HJr6EonE9va2\nNPyn0ykaHCVpH374Ib6HRKJ0RWTloFiEb9rtdiaTiUQilmVdX19D7YX/C1X80v2jN0oZJdu2w+Ew\nxx1Op9OLiwuoTbXbbWpGmm9ns9ne3l5gW3157E10OFKp1NbW1mAwQLGQ67qYSYmmOhQK0Vq1sbER\nuKfM5XKhUAhiIkCJfhbA4CtN2nPE43EuqgQI4RpeLxp+RCnNKXSEEH5RokwmQx4PL55EglZSc4BN\np1O0KnbA9F8EeaMRHgqFjo+PAaFC3IUIfYUQkogAj4WMx+MnT54AH46BWq1WcXJs+OhIXiXL243H\ndSaTyU9/+tM1wBGOYCe+Z2IFyOVy3W7Xtm1w7ywWC2xx8vl8NBolwihamJvNJh5zPp9zmnBSOFt1\nJ2ADC7xDx3Feo9qNWkYqZQyFQrlcjthy+SQoEVFAHoJP65Tyg7wWJlZUPNExUnnCfD5HzoJ/ubW1\nBRF51H+qqkodYDqd+t8pGTBJuq4/ePAATOHcP/M8b03Svdfr0X0GXgJwJfpz1SqIsbbKJ242m6FQ\niDtA8ICVW6lkXdc5Hhmc3/QnIjTUhvxZVpWuuK5bq9UCUYRI9yiKgv7jOA40gKCOJIRANTgdz3Xb\nLcvinWEymfB1Oh6P8ysul0tadEulUjab5XAlTLOoY9/b28NOZrlcvnjxIpDArVqtwpmjc06nU9Ds\n8qgVN+5tcBuNRtC1wBsvFAr5fJ4iQIPBgL9HkMQYhpHJZOjZAZiVgk/4k7ZJ6OQYaJxmjczzPMnb\niEajV1dXiqL4w5YoKAtsGcyNgunbfQntjXM4SAydajJVVfXTVCcSibfeemvNeXCGTysTilDYbDZD\nVG0NzbOiKKVSyU/VFYlEUMHPv8RoD+yFRD4o2cHBQbPZhAPOFY3JgMCfTqeGYdB0Rgx30LPmN+84\nDo/W8tWI7y16vZ4fj7leZAiEB/xI1CPgBWUyGSglSpxpfqZhbAdns5k0/3a7XQSlkFxTVZXuvFgs\nzudzx3Gi0SiK7EOhEO1ZsZ0SQrTb7aOjI9qm9/v94+Nj7G8EY//kExMmzXw+z2NX4J8QdzPHcS4v\nL3EJoIZf+S+LxQKVTYG/JpNJCjYkEonNzU0OEZDey3Q6vbq6ItwPl+lpNpsEFZSmVxRZUMoDEAF+\njGma8/m82WxSz5fY8f2dPJlMIud1c3NzcXGBO5dIcShGGKjBIe5QrC55daiChqvEC3r9ZDwStKVe\nr2OvIoSwLIv60mg0AlaMw2XAzEY9ORwO5/N5/JpIJO6iectB2ZLl83lqh0DdKEDd4S7wzKy/NRzH\nIdek3W5LcAHwbYPvxE8JSs2CyB9KRQJFSaLR6N7envTueJJo1Rb/5uZmlT4tDykhniT9yv+0LAvD\n9vj4GBFHTIAcwJRIJLBB5T0qEokcHBxAaMZ/D9IYQQnSqhvGydcPdhAGfqkIRsneLIfDtm2u5gf5\nb9d1ISeYSCQqlcoqSSrMvJ+Ru63RaBBkcjgc1mq1NdvrYrGIyRRyQfgSBa5+unQ+qW1vb4P7BRW5\ngSc3TbNarT59+nQ+n8/n89lshsWD6NGgxSzF8Ok2xuPx5eUlLoRvpPjKaDTCXlmaX/wIOCFEPB6n\nCcs/Za8CRlBJCMAB0q/+nQTSz1gI/bMeL/fFfksIAb1ZccsrisWAmprPKZJreHp6Sk+Kaj1MpnzZ\nHo1Gkp93fn6+vb0diCcfDAb1eh2gUbhH8Bfx6/PnzyuVynpnxbbtQHn0ZDIJTV2oqNO9YeUAPTMd\nzOMN4M/F25G2Ynym5usxBNIQB5rP5zgz78yowpDuEOuutKuGxWKxeDzOc/yj0chfcUq9y6/BQZfw\nJx3IgCSQvoTesuu60Wh0PB4vFgsk5vkxgSJn9LzSWFgul7quJ5PJo6MjhE6BOEGOA4mPRCLx+PFj\nx3HuCCFcVf8vlStLulEUoFqVwtM0jdhZ0um0hOiUyvcQ/G+321tbW4HeBgzlb2t4P8Gphc/YuaHI\nn58BQQipWGwNGd16njoUpcNjMwwDNUHxeHx7e5uPNUTER6OR53nEmppIJMhZX7XrI6OAOtCdHEEM\nmhP0fEz+4uWtCxJtkoQnhDiA0/8y8H2RvVkOh+Q2gtELsCBxO1X5MyNcRnWV0OIdzZ/1kKTDJcP8\nhUrI6XSKLD7gTpubm9gg5vN5aTdvmqau64VCwY81I5vNZnzwY8aMRCJUUgh0ValUwqKbSCSkcM54\nPL64uKA9bmCbtFotCQahKArRPtJeCpRNpOounSRwixaPxxEIzefzgdilQqEgXZoOy2QyvKoZz8Xl\nsLENxURP/z6ZTPySwmTShCKtJfgvv7OFqQqVhPim3W5LDsdyuQQmEX82Gg0sRfzesFcmdZVAkzo/\nnAkq81ssFhKRP5yJjY0NHriSIgH01FKVCpp6uVxeXV3xpwY6BPAjv2MRCN0XQqB2PZBcPFBbnG5y\nsVjAS+P/CPCmlIMwDOP4+BgwESpLgWF18b/32WzWbDbhAoKyXeoDRO4kPSOtmpJ3cnJycnBwAAJ4\n+knTNGlGggyCuJutKpGVFiH/jrnRaMxmM1VV/XXvsFwuB38LaO673IyUq3qlJq1kfONRr9cDu4qq\nqgQ8olJqf+0x0kaTyUTK8aVSKcMwiBbIMIxqtWqa5vX1NQ2N8Xg8HA5p0qYdGkRnqGEBQ5lOpxK4\nNdBoAh8Oh1I2BF6sxN7Ee2M4HL5//z5H1YhbXBEiwZVK5XMpYvhc7M1yOPyzhtRrA6H+HC0/Go1Q\nMyKdZDQahUKhYrG4nroKRQH8mzsSjwJ74bru2dkZzlCtVpFTOD095XM3Uq29Xu/i4gKSkpgOpMQe\n56umpwCchb4BihODgR6QY774Hld6cKya/iWW60S0Wi0qH/frla8xvjKtgj6Ypvno0aP5fD4cDlH8\nzOdNqH9ZloWSY+FLxFqWJcUDsIjiPvEKCMQHygqwawvftgm4v1KpJLUG1HNQdk8dz78MS9ya4pan\n0t9XQfwQ2GLCl+Y3TVMqWJCwFJjjTNMM5IqA5B4nHwNbGpoa026z2ZS8AcLHBa4WPNAlhCiXy6BB\n4wqowOqvHzUk1R0Y0UFNMiEZyXRdh7ObSCRQnYTvu92uP+bkui6NID6ij46OyFeQ2hOVGnzq0DTt\n6Ojo8vKS1t1msykBmMg4OfpgMICksMTVK1m9Xkc8FdE1cs4ymYzUGcD4gomiWq32ej0a5ihubzQa\nYJ3hdWSgEOSPL+2z19v+/j6gqWtIXSmOEolEeNTKL9QghNjb2xsOh7R4n52dYYasVCqgBeP6I4Zh\nSHGCvb094H74RNTr9fx5bf6P8DaEEJ1OB9VP9BNmGLhZkk4eNwnDMRqN7t271263Pc9bxWIikToK\nIRRFqVar3W7XdV3OO7BYLE5PT1+P3+gXYV+Km/jC7JVElv4IJIHXyKTdAMr88Hk4HK5HfhSLRdB9\n0hRzc3Nj23a5XMZeE12WT4UcEjUYDGhwXl1dwcvmq1Eul4Oikj902Ww2AZsPvLFQKORfVEAnTH+C\nMcIwDH5y6seKoty/f7/T6WDPF9i/c7mc5KsFenjIx3e7Xehi5HI5ilXkcrlisQh4Jh2PgsnAh1qj\nS4miBvoznU7Te8zlclLQqFQqobVRi09FOpAmRxyVoJ3Pnz/nWzdwwrquy0kvhBC2bcNFWC+M7o9R\nqaoaGAqWVhFIzpLgDrZreHflcnn95hJbbXyuVquoCOW1IclkUmpYSKCtuXNoWQnfKEPaHpXAhFsq\nFAqcYg49B3/6vY1IJAJxMsMwADiQaiz9dnJyAnE4f3pFCiFITW1Z1hoh8m63i6DgcrnkrzWwxkHc\n4kDpXay6ZyKbKRaL2WyWZ75WrSVEDiuEQNpU3Krn0IKKxanX62EYAmEjEZzAu6VTeZ4nkfZy799x\nHCLbkAh5yUDGk81mMZFKg0LyJofD4fHxMYqx+cSLFBs+67p+fHyMzxLHD3IroVAIxUEciIrSU7o0\n+JpRtU7tuVgsAnNA0KxHZ+ZhVGlMeZ5HyT7E1cg7tCyrXq8DHCb1QE3TUOANXRv/1dFo2E2RtBOK\nt3EqsJ7z41fNkF+8vVkOB/ChqFoOHAz+L6X0JCdIgEnbViD8wfmITAR/02AuEi8XqrVaLU3TaLVD\nvTt95pAoabUG0JVvQLHDWEVkAiYSfJao/fjaoOs66W3yWQPHSMnL8/PzaDQK1QxE4KlZwIRDBwMi\nA1onarRAZFOr1UKz4w6licY/vX4uJeaapj18+HA8HkNEVNrW8ElBURTyXLE1lE4VOE30+/3Hjx97\nnsddJVRjriHalxSrhRC5XC6dTgdK1XD/icfzUUonhMhkMqCt9OMVJGyj9FDIi/NvwP2wJj1sWZaf\nLPL09BQsCPQlIWphUDz2PO+DDz7g/4tSjlXX2tzcRMe+urqiF7e+RBALDwpZ/QGMVCpF8Qme47Ms\nK7Ailwxbdn819Rr5nnQ6TeM3UM0RFcv4jDoX/utyuUQP6ff7s9kM4XdFUQKDQNBoBdyHWFzJAgE0\niUSCZ0y63a7kcCDngumLen42m0XCDn+SG4H3y/9d8rZLpRJH5IzHY2pwHj1CqQs+0xxi2zYfSplM\nRuozvA8bhgGui9lsFo1GJ5MJzcDQ3dU0bdV6v1gsTk5OQDfAp1/Hcc7OzsACBykJ6b/oM0mESvpt\n6XSaeiO2ppqmBQY5sJvi9Iw0lCqViqqqUn1T4IN88fZmORxCiEQiEZj3JQM2kP7kvSGbzfr52viS\nCWKi4XBYr9fRvdrtdmBmXRoJHGbFSe/51cfjMUdRENYdQFeUqq5SkvTf6ubmZiQSWS6XhN0jwx4u\nk8lIWHHMa3w7giExHo9brdb9+/ep/t7zPP+SZpomx6ijtLVer0OZiRp2Mplw97zf7/MI52w2AyQ+\nGo2CvUMI8eLFi/VqvXc0KLbjczabpVm+Uql8xjPjhHA3HZCwoXgAACAASURBVMfBAwJKJm2g+eLn\nOA7RAGAnBBBxs9mUKBlgjUaDVlk+3YBgA595T0MqJ5FIZDIZ8KCgPf2x3/l8rigKl/DAdIkJDpQV\n2EVNp9NOp7NK7IMeFj0ZfGL+wwIXS3+kqlwu0yjAf/Geg0dbH+cQK1DMsVjs8PBwOBxK7oh0tlgs\n5nmeaZrU2rlcjnOK5PP5dDoNCqZVNxCPxw8ODuCIB+KFpXVLckCxx6WaZCGEbduFQiEcDgc+PuA+\n29vb6xniyWzb5sVKfoiVoiiBvIibm5v0XxxVIx3JFViKxSJeaGBcod1uE+ENn7JQIYWwH03siIxK\nZ0ANFD4DdoNjOp0Oz9EAzCdWoMfIEAvB9Ivnoi0c8lCYT+jMOCd8Solgg26J0kaWZf34xz+mZllV\n5srf72AwwHYXuW8+A7w26PBztzfO4RBBYXwiRUCpIbb4+Imi0CJosAkhUDDZ7XaB0xyNRpI05WAw\nkByOXq8nAbm58fVVgmtdXFxUq1XE/aBQhWGDTQP3D6AcDW5NWps/+ugjAlIRH0Cj0QiMiPh3aZgN\nV+UCR7cW+CsUkiQarlqths0T+F4rlYplWRLODhKsdNpIJHJzc+OfCCjB9NqGGDiYAcXLneRTQdsE\nw5zH43EEzMPhMG3s4BvN53OpAEQIgcog+pO/Aopv3dzcrAnpw0BBSH9ixZpOpzc3N9L3BAMiVwBy\nqXSM53kEaAArKLUGmNMQnMPqRe/llcu8ZVmrwAoInkuLZblcRuN0u126AcRC6BhpVvWDK4kLnL/Q\nVaFmxK5c10VaCrsUKcxDyxviQ/At+J0jY7KuIYQQK7jIyAzDoCUf1GqRSATLCal8cbcVUsnI/eHF\n+ZlFAmGenBuGHwmtR3TjwJXP73Ag6gniWq5hNhgMrq6uSBdwMpn0+/1YLAZ5IMwwmUxmuVzC3Zeq\nohD32t/f5w5c4AaSWESJDhUQeJJbwoMgKOJfEQJdDc5eTwJ+WN3Fy41MhWlbW1s8W01F0dwRIePd\nko9xyOAh2Cx1cincRb9KUxa0L/xP9MXbG+dwNBoN/3wtDTMOC81kMqZpQnZy1TaF44z8+wbJaQik\n8OOn4kEU//gHvSD1e0JpHRwcSJ3s3r17qFLhuqkEpCIrFAqO44Bvn9dx8YkSg4r4HwMFtBaLxZpl\nRtd1znoO438Oh8NKpSItwLlcDppkOD9y/FKwnezJkyegLPxU7rzjOASMFYyajC/2/jDyGoOyeTab\nBVNh4DGqqlJAmMB6VLOzyvBca7yNYrEoPQ4sm83yHTAZpnJOnS5u5VKXyyXo4UHmhp/8qxTmu1fu\nlbFyc970VaXOhHMUQkQiEWzTqaowl8uBmXS5XIL2m3eYUChESwIKu/iykUwmNzc3W60WDRPwlq5Z\n6amcit6RCKqtoHvo9/vhcBjCe4PBoFAorJKGBjo7sJyb283NDRyLvb29TCbjui7AN+Ds4kfy83BQ\nJ27A73BkMhlqZ0VRDMMol8uRSATk31J+bTwex2KxVQ4irn54eNhsNuFeCCFmsxko9bCySgxyAFnb\ntk27i8lksrGx4V8veayL3IJarQY++DXYYcMwHMfh6BPsefb29igVGMjgvMY8zzs4OOj1eoArIS9P\nqPNYLMYf8/nz58gBgX2EvsfBm5ubnufdXQeHuBvEy/gqoM7R5qZphkIhUN0j4lKrRZ88Sf23/7b5\nn/7T7Mvhb7xhDgc5zustHA5D7ANh5HA4vGrlCPxf/mcqlVoul1yZdj3AvlQq8TME5sil5QEfLi4u\nuHdCE7plWdJ6ILnJoVCoUqlAE4QC+CAgWiwWGK6u69br9XA4DABHpVJBuQr2uEIIVVXXrzr++kDI\neNKWEVlnaauUz+dRWA8nDGSRgZsDapn333+fK3Q7jgOqK16lgmIH4HObzaYEEceW6/VwIYPBgDwJ\n27YDcYLCF7p48OABAP/SYalUiop1i8UiOoP/8SF6gnJKHquAHRwcRKPRwIkV/o3UxwzDoHUunU77\n40ZUU0P7VL+EGDcIIgrm22UymcCNMhTt6U/sEXEDlIxDeBkoUT+sxDCM/f39RqPBAacwAJn5GEHA\nY9VtE8edeNnTWq9ZA9ENf2k99tmgRnAc5+LiAre3JhUIBQ18Pj09BS2Y1Ek8zwPXLdwRCKpJbisA\nzjTtmKYJ6Pe9e/dQ0Qq+O5DO0Z1Pp1NexMSb2rbtWq0GahDo7wghotEoejunMO71epB3kQqdxuNx\nqVSS/DZIROH8vDshcQYUOR1Jv25vb/vzyKVSyTTNs7Mz3gcuLy/hflGH51MWmLJc19U0jetkcWs0\nGqFQCHsPKr4logTo2nAAyuXl5f7+fiqVoi/z+Twx3vrr9rPZ7MnJiaqqGxsb4DOlA05PT6kT8szp\naDSiLj2dTicT6wc/6PyX/5KcTOLf+96vj0b6wcHo7be9bFYTIpju7wu2N8vhWF8OkEgkQCvJcyLx\neHxnZ+eO3CnY5dM6ChQ0OgrlvDVNW7NkWpZFoYXRaOQfS8ViMTBAwudBkHoJITzPe/78OXdx/EAq\nMn5LvV4PrF98ARgOhzRBAxhFI3aNFyVJRHKD3AYC/svl8sMPP0SAB9OEYRggwAHTTr/fJ6IhqQEl\noc7lcglcaigUIrrPRqMBPD+nPG80Gv5dBUWDKDa+v7+/6ukgGkL84tx3WbMGSxcF7MufqQVLx2w2\nw1Z4MBi4rgtSJiiuCSFQZwFkkuM40iobDocDxbp4tcJ0OiUEMXwXWufgHEjZjWg0enh4yIWvINsd\n+KSkM0yl47Q/wwYUfFk4xr+WUwyG+vyqYqvRaCQl7CQ7OzsrFAoc+LImtkGdzW/rNwyBgWtO5IPw\nO72mNalAqTU++ugjv37N1dUVXlyz2Tw6OvI7OpLfIG5V3EAfzOMi0vJvmiZnOuY3CW9DCNHr9RRF\nWRP8azabqqpms9lqtcqLXzDkpSgXbbQkpyoajRYKBa5Xwg2JbExTOzs7NEFNp9P1pF6SIc8CXy0c\nDlNfkuIo4/EYuyAa6UB94r1zKKu4Fane3d199OgR4J/QUhBC5PP5jY0NGneZTCaTydCubDabHR8f\nHx0dPXv2DE/BXd5Vz/X97+f//b9X/+zPHuztTd55p/sv/sWzR4+Gm5v6munri7cvo8Nx93DCHQ07\nG7D60G4MyrHdbhfDIJ1O+0EGQgiUsN4FH+C6riRQIkVToDMihMhms6scDrjJwORzb6NarSaTSSiY\nrKFEhO3t7UWjUU3TFouFND+iBL/dbg8Gg1AolEwmQa++XC6lW/LDKUzT5K8mcBMgWS6X29raIvST\n3xKJhATXms/nOzs7qVTqvffew5fj8ZhCL0KIfr9/79697e3tZrNp2zZnSYLFYrGTkxN/CyMv5kfI\nrrq3cDh8dHREviYoPVA6iG/a7bbUYQIBfX4rlUrT6VSaQKGJ418F8XQvXrygOe7tt99+//338RmM\nAtg6Szv+wMCDaZqY6eAudDodCn7s7OxgZufH67p+7949KG2i6UCFhF89zzs9PfWvBJim8/k8qJCG\nwyEvHX/nnXcURTk7O4NnQ9XgvOAThviihJpErgfLErXwqjQlR9dy73l/f3+NLoG/b8Pr4rkV4VNT\nW3XOVqtFHht436U7DNwDZLNZKQvW7/e5tKHrutzBnUwmOLNlWfBNAWD3n/nq6gpVoLFYjG4sHo9L\n3XVrayuXy6HUbpVrApFS/l8c9Oa67vX19WAw2N3djUaj1Fa4VjgcPjw8xEspFovkS/X7fWrncDiM\nJl1VZ5FKpTKZjBRKdF03sCyAmtq2bdu2Jc3ter2eTqdxb4CyRiIRSVYQKlHS+9J1fdVIh5Lw7u4u\nnF1y/trtdj6fPzw8BFWSYRh8l2tZ1pMnTx48eLDKt8DlJhPl5mbjD/4g8f77xtOnyVBI/Nqvdb/7\n3Q+/9rWfw0UdRxZ2/uXal9HhuCMX1t3Ntm1a87AECiHS6TTotxVFAT58zQ7pLrf0SqBcPp8He48/\nvg2ixlKp5DgOrSXcXNfFihIo1rWxsUFzUzKZ1HUdguz+iM7JyQnYw/AnQhSPHj2iGC+dUFqws9ls\noVBAhTd0nwP7MUUsYOl0ejwer4no+AMMlmW9ePFivVcOKt9UKkXMThDhwwaaSs4k0zTNcRz/bYMH\nQtd1EE9xaD0aXAgxHo9p6gGZSigU8qfneIPH4/E13QZhM4n/CrEZ/8GLxUICkfFfIYiDax0eHoKQ\nCipZfD6F0wwo3/X1NWB93HltNBrZbBbZNFwumUwCfgGsIiW/6bk6nU7gvtNxHEgkguVTGlmgkOLP\nDupGRVEeP35MsNBYLMaV5MjgzVBsKaBxma0qOdY0Ddk0iBZJkQP+FkzT3NvbMwxjOBxK0QLp5IlE\ngu4HNLWQepcgFJKPi9St/w4Nw7h///7p6Sm/iuu6qx7ZcRzHcZbLJfbQ620+nwPyglwP4mT+M1M2\n2XEcyI5Atka6Lv+zUChIhWZYdMvlMqnAYKITQgCKIW6VmDC58a4Oxp1EIiFlbLPZLIBlgX3g6upK\nIuSAffzxxzs7O/1+Hy6Rf/JBGAlU+pxciwyXU1WVArdgl1kul6Biu3fvXq1W43MpJszd3V3pPpfL\nJXF+BHLVn5yc3NykMpnx8+fx3d1Jr2d89FFSVb0PPkiNx5HBQPnwQ1XXxd/8m+Hf+I3aP//nzzc3\nZ6GQnDdJpVKf+3r6WezL6HCsT3y8hvF+0+l0EA2+urqi7+HCS6gfGObcV97SKkEsskKhUCwW4Vn7\nf4UqFSrQAv89FovRP3IiLHEbtYbMB/DPtm1zqkTJ/MR5JGxIZlmWtPJtbm5CGAWNVqvVjo6Ojo6O\narWa67pgPHz69CmfjFRVxQSdSCTK5TLclMViwcnEUL7hX7kHg0EgNBWGN8J/bbVaAMNGo9HAAYZC\nQdu2s9nsfD7ny2ShUKAtu2VZ1LbpdJraXKoyDbwrGFwuzKprug3P0MOwteL/AmFeCM/yI6W5Cdo6\n+MdoNEqg4H6/z7fgeHF8LEhrDHXOarWaTqc9z4tGozc3N8vlEpEw4SvRXBPlInwPF4aAnZ+fV6tV\n7obSg1OlIgy3J0X7AR92XZeeWgiRy+XWFzFKNpvNyA8YDAYc9yOESKVSIMtSVRVqFIPBwI9Dkuwn\nP/nJ4eEhJFGAIwk8jMfYMFrB40n8DfQryqboDQIBQI/sD/x0u12pRE749gBCiGg0ipeCEBQx7a6S\nQYD54UFCCOgmSl9yZhF6EMMwuAoMNCWobwS6rbDz83M/vAl5HBCrW5YlMQpyb4M//mg0arVaNAEG\nRjdPTk5oBPmvi/bn9WVIr5DedTwe393dbTabEiPzBx98cHx8zLOT0rKSzWa73e7paeiHP8y++24u\nnbY++SR2fW26rrDtUD6/6HSMUmlRLM53dvRf/VVrd9cJhSYHB08VJSBtDaBVOp3O5/Of+3r6WezL\n6HB87ib1G/+CgXrO+/fv8y/j8TgP9KFzI/yLQF8ymQTSuNPpIIJHlFaapgHnCA+GMxCDPTcwHNLr\n9aSIOlj50uk0X/7j8fjDhw/hEwyHQ4wiAPhxwGAw4N6G1B39tQb+cdVutyEV2+v1QJghhACbGR0z\nGAxKpdL+/n6n0xkOh5J/w5c66OQhKIrdAM0I19fXhULh4cOHqH2nKSAcDudyOdM0aVUAj6frutij\nS7fNixtTqZQUYOdIOmSd8/n85eUlNGahh4m9OxjMUIPKc8x3F0DChnj9MZCh4d8kk8lqtcqvQoqp\nKJyhhHoymYzH4xS4rlartFEbj8fT6RSKX1xwVSJ545cAqBl/Qp8FvGfISRMyrt/v8wQ5jHg7Ag0A\nvUDnbzweNxoNVCX0+/18Pi8VnDuOAw4rLE6S7zudTqVaVtu2Z7MZsJDgtlp1V2RS1GE0GvGnUxSF\nQy+pXMVvUkGHXzEg0JCdhHJQt9ul4eC6bqVSQeUznyXAEiu1g5Q1CIfDgTdJy20sFsP0Qpdrt9um\naQaSf0gmwYNM0yRtMP/B8Xi8UCj0ej1a6gAJJ9Y+VHK9cpNGdnJycnx83Ov10FcJNfLixQv0wMFg\nwAEu3JctFAp8i7UKT8aNYPUI/PD1ApOYtIRzhPJ4PJ7NZgBaSVs7CHUNh0OEDKUp5fvfD3/3u792\nchI6Ph5sb08TCfv4eLixMctklh99lKxUZg8fDiMRJ5PJgPI8FApRpNz/UOFw2LKsT1uy9wXYG+Fw\n5PP54XD4yg2QdACXQhVCULB9uVwul8vRaLSxsdHr9fj2a7FYbG9ve55HorKBdXHb29vdbtdxHMuy\npIuC/w5dnDRLYUhnOI6DRREJWlq35vM5VcpJs/zu7q7rupwhkXN9ArKXTCavrq64LxIKharVKhFG\nCR/PAeaO8XgcCK8rl8urWMgk/wbqlFCvvrm5QZ4LiVt82Ww2UUMvMb7PZjPavvDcOThDeUUcXEN+\n/6RYbVnWeDwG8zQIpOFgSYg2KOH5d3j+MMwqljDUAoRCIcMw/AlmRHFR8BmLxUKhEM1WKJwpFovp\ndBqlccPhcHNzUypv5mBYqcAYIpZ+HzeZTJbLZawl8XicaFSAaOP0CUIItBI/59XVFTVILBaLRCLx\neBwuOITUhRB+Rg2Y4zi6rm9tbUnlneJlnCNoYxCpRt8QQrTbbcuy6GY42SLqLMbjsT+8F6gIQ3Z+\nfo6cDhRVeBeFApy/6RaLhZ+37Y5GPBDi5Q0AFBNJvYi+Xy6XJycnAOUARaTrOversD9ef9HJZLK7\nu+t5nqS1cZcblsYslIOEEKiaNgyDBHRg5XIZOZTr62uoY3744YdgvIVK9pprBcLMh8MhecbD4RC6\ncfzmW60WORxIFWG6htghnTBwp0dCmEKIVCpFBB5QJDg4OFgsFpPJJBKJBFIxSefExFgoFKBpgC9P\nTmInJ+H5fFkulzMZL5HwSiW32QxZlvj4Y/U//sfocKj8zu8sfv/3p5FITcoHHR6+lKARa2vjNU0L\nhULolkD1giudnuuXa2+EwxEKhR48ePD06dP1Poe0xlC6ul6vB/LkBJJ3gWz0lfeD6Rjwt06ng519\nIpHAxI1LSwA0UjkCrSfKt+jXfr+PuVuSQMRhyLlQN0U4xLZthElCoZCqqvv7+4SlJ31qyYjSKpVK\n4faklsFuCcEJ2mdAThPPy0OaZPAGwuHw7u4uGCM6nc7W1lYikSCUhuM45P3Yti1l04fDIW3UcLZy\nuZzP54Gov7y8xGKMbZAkH4p/73a78POw7krLua7ru7u74LmiR9jd3ZWi/fv7+34QhqQaiqpO6ZjR\naLRcLqlljo6OpPYRQgwGA/JUrq+vpe4hYW/567MsCzGq0WiE/IvjOAjgQbMKOGVaO9vtdiaTkeBy\n0nP52Tvi8TicAGnHDD16bAppABIgCeGlwWAAqk1JMPb6+rparSLZxEU3JBVf+kyhCChkcvE2yCyv\n8Q/o3ubz+fb2tuM4ADpIQYtwOByNRjGU7rhaVyoVRVFisVin0wFMh9N7g4EXn8F5teo8WEEDCcgd\nx5G82IODA1VVyUuDAd7By9HXFAZLdnBw0Gw2R6MR9zZoGE6nU8l3nE6n0pYDjLfSfSKWlkwm8Vwo\n0JW6gaSNjCcK3P/AgO/mdyKESKVSs9kssHm560a7tevra7wXsEWXSiVN03BRKaeJWmh0hlKphHUE\nU0q/b7z/fuq///fNZ88S1eo0FPJSqfCzZ4ptK+Gw2+vpm5vOV75i/7N/NvvH/3h2u/6UF4vFmhq3\n9SZFX2iNmM1mfprsL97eCIcD1aFrvI1IJAIKIFLrJhaas7Ozu0ThYIAfSl+Sd+wvQFAUpVAo5PN5\nDCHowdJ2bTweA1poWRbfTYpbr4JPJYqiSDUyMEC9wOOJU5mmibVK4h0KhUI7OzsowsQOG/QVqGqB\nd1WpVCAIQrsZ/lCoX6Xr5vP5QqEAXDe+DPQ24PHg83w+Jzfu8vKSRwt6vR5KHubzuT/5Sv5Wo9FA\nSUs6nS6VStJOFwlaiaUb5ofySa8SVBm06cGDS8ecnJwQlyv/kv/ZaDQePnxYLpdpGRZCGIbBW6bT\n6fA5F0u4n+aS5635nUCtCsTzQojpdHp2doaXTlfc2triwnvS9C0NFoo5kfkxbo1GA49ApbB0JKUn\nkskk8AqtVgvBZ+kk0npgWdbp6SkIlKSsYuCDi9vVaDQa+WMnCGIFCtVyGwwGy+XSDz0RQoBxaw1N\ncKBREjAw+pXJZBBk4nqwn8qSyaS/JXVdR1Gef0+PjhSNRiuVCnxfSK6Di6xUKgEBAAo4qtI3TVPi\n/uKLYr/flxjxV7UznzG4pl0kEqFe1263Hz16ZNv2+fn5fD6Xng5hY65jous6T4EFBntWYdokG4/H\n4OHgQ4Dk6Q8PD1EAWCqVTk87T58mnj9PeJ6o1yOel//4Y2+xcP7BP+i5bvqnPw0NBun33ssUCotf\n/dXuP/yHF1/5St8wXB5NiceTe3sBVD3b29u4Wzijd+GOggUqHsDa7fZfORxfkHU6nUDQMlksFsPc\nvbOzs1wuQ6EQzad+bwNUgzwrgS+z2ay/KI7vbokBSTIIjfovNx6PF4tFNBr1C5T7xTDXJ0QB9UAm\neA25oaIopml6nkecOa1WC3UfOKBWq6EKhv8LfUY1l3g5fE1CjiKoMaHoRn9Ko8UPizs/Pw/cpNKS\nTAW0/X4/kGjB8zy8Ptd1QbsihMjn88A94BhkrPz/CxCPEKLVamEVRHG1NPMmEgmi9wlcQjzPKxQK\nYAQajUbpdLpQKPBpBUGpw8NDFO9Reo47JScnJ1ymp1gsYgePcD0oL3mUQpqFF4sFCqdDoZCu6yAa\nQqeqVCrSPsm/UiqKsr+/D8ie9FOtVkNMwnXdZrPJZc25Mmpg1LDX6x0cHEhrw3g8hibZfD5vt9vJ\nZJJDB2KxWCBIRepL8Gs3NjaSyeQr4Z+r0hN7e3soaFr/72SGYUBJa/1hlK2jNuFQR6wiUkWuuE2M\n4nX7q4JBd4uQSavVkuYrIQTEcgVD6sCgm0NDddWsZVmWdD/rI/aA3wohUqkUuHawbPNG4MfPZjPp\nNUWjUSg8U6IZOsaojb87ykq8nFN2HEUIsVyGotGfFc7wgIdtK+12eDpVa7WkZYX+5/+0EgnbttU/\n+qOj8/N7Qri7u5NKZWbbSrU6fued+rvvZt99NxyLLff3F6Y5/O3fvvnGN15aenhMdDyWwxjAyYGJ\nHEIZ0iS2htZICJHNZnn6j2NZ/ora/IuzNVFKGF8VoMQDNl9d1/36AvP5HAS3fISghM9/Zqk8bI1o\nJMxfgOBnqi4UCp9WaxhTw3Q6nc/nUrjebxJYQfJsAMKnP3mAlBqEP/VHH30EUmHxctIqkUhsbW1J\nc7GkhJfJZCjfFI/HEXj33zB5Lf7VXVqKMpnMZDLxlyW3222+gZ7P54T5wI48k8nE43HuWLTb7Wq1\nOhgMpOCnqqpUCIpnJGpOGCgv0Rp8yyjdaqfTKRQKnGDeMAxkBumbfr+PnnB2doaJBrgfKFas7/aa\npp2fn+PmwTm2s7OzWCywoAKHj9b2hwpgsVgsHo8HBg6ROOCOvuu6fk24wLsyTVN6TMCVwCDi36Up\nirK1tYXv+X9JMzVdWvoeyM1kMtnpdNrtNtbvwIA2dVdAuXu9XiaTSaVSSGAFbuhTqZQ00c/n82az\nCX12/NRut/1tyHsyqoR2dnaGw2G/36fiUto8dDqdwAiHuEW/okZM0rlF94BSI/9eOtXNzY1/1pIQ\nPIJJK1C6MJ/P02qXy+UQnsSfyWQS5BN8JuFzGnSgpIuS/Do3uCDSl3gpYrVtbW0/eXLy4x9nnj5N\n/uEfVkMhoWkikXB++7e7qjpNJq1aLfqjH2VsW7m4MIUQmuaZpp3PL2o1Uwjv4GC8t9f/7ndnkciZ\naTp0e8Ph8Bvf+Nm24f79+9fXQzQRhjZ8CF5e54frUgwYgQ2/ilM2m13lcJimmclkKG6az+fhz4Gr\nfpX82xdsb4TDkU6n1wPXDcOYTqckF0QjcHd3t1gs+iFO/hhXp9OhHDa3T+V3i1taPUzTGxsb8/lc\nwiQCG+HPdnOTkPN8wZvP5+tVxYWvPD0ej/PnlcSo7sIqc3l5iUBCLpdzXRczNURSrq6uUCqC8jxV\nVUEzBb41vn6Mx+NV1JA086qqylHliUQCaJXZbAYJrmw2u6on+CNGiqJ88sknGN7AafID8ETSom6a\nZqFQoJl9NBqRwwTLZDKrmBn9e3R/1Aqa1DTj4E1NJhPa1kB9138q/waXsofilnNMVVWUm1qWpWka\non1+Om3pfgK/RyeRFDTwmtZUO4vbjI+maYQYAFQWv3IVCcnQAe7du9dsNh3HAdU3P+Dy8rJarfrR\nM8vlEqABeDMgnOBSIwio8H/UNI3jqROJxHQ6DRyMrVbLcZzNzU2/FvxwOLx//75lWfjHwUBvNCKX\nl2anE65Wp4tFaDTS8eVbb/UvLmLf+U7o+jp/fr61tTWdTNxiMWRZrq47y2X9Bz+wdD1ZLs913Usk\nLCFEOBweDAYggMfldF0/ODg4OzuThFtf6QJGIpEnT54kEgleagcJNDpma2ur0+ngdafTaXiocBxH\noxFJ4dB1CVuDZqc7PDw8RG2L5KMLIXK5HEfQrzcSwEI1DcTbut0u1vJ/828enZ0lTk+rkYjzzW82\nv/3ts1//9dZyGX/xIvn0aezyMqMoYmtr+pu/2Tw4GFWrejqdCoU+0XV5M5PJZHq9n8PzJc4boKNs\n2wYLA9oE7LqxWAzwZImEfjabcdeTextoeQgJrXpqLGG8kt/zPE3TEIu9Y9P9ou2NcDhM03z77bef\nPXtGc26xWOQw72w2y9c2Mqh2TSYTiBLRAjAajUBbzg8OrOrm1Q13HDDlchnagIqi+Lc+0+n0xYsX\nx8fHWLD5LKZpGkK4EqDPNE0eo14/xViWxZfkcrkci8VQkyZu+Xb48atUuCQjp+3+/fs0U1MsF3tE\n4hX2R2th/KGQ+RZCFAoFHhZ68OBBJBJZLpepVAr3tckaJgAAIABJREFUBilOaFjXarVV6p18vkgk\nEgCZ8s2E5Hfqul6r1aSIFMST+DdSeOzuQHHMWfwbaHDQLSWTSWw9pY7n9zZQFYz0Db6R1gAhBBJA\nlAGMx+Obm5uvnKdM0+Q9sFAoAJmB1Bu/MbpcpVIJrPeB0T6MEAOcNKzdbpfL5Zubm+FwWCwW/VI1\n4XAYM3u/35cQi7PZ7ObmZm9vT1EUiYluMBjAH+UcZUdHR/V6HXoWw+GQqi6JcaFYLJL3g1LkwF11\nt9uVWolsNBpdXd388IfZP/mT8g9/mIvF7ExmmUhYf/zHFU3zdncnQohmM/zxx4mzs9gf/7GXyzmZ\njLJY6PW6ruui1dKFEOl0qt/HB2s8Vr/61U6xuNjenn7ta62Tk/rXv76pKArAGaZp5nI5cscRdARm\naw1VA1Y4pNsePnwIWn2/D0q9DnXOyJ1RRo97irx/ttttdIxMJoOM22w2o/mHdPJQ3sJvCe2JGFtg\njpgLYJmmuVyKH/yg+n/+T+FP/zRRr4f/9b/+6e7uZHd3yR58tr/f+rt/V67g29jIj0ajej0gMboK\nFJjNZsmL4vcGKCENCiiw4EHS6bTjOGtqqsFBTDhWmN8tk7oZ/ux0OlB1WHXyL9K+FDfxBRj4WDDn\nRiIRz/Pi8fjx8TGIlVZhtYbDIekfcgOZhPRlYJIsFArRrA0eoVUSka7rwhPXdZ0W9VWpk/F4nMlk\nCoUC9bDt7e1YLFar1V68eIGdPX4CqTBNr/l8XlEUy7LASexfUTisnXYVmK0CBcZeya8qGSo86TN9\n32q1bNuuVqtcnlSy6XQKysvlcgm2Mf9+NxQK+Xe3eC6cdjabSdt9CWm1qn6SexKc+jCbzY5GI4z8\n8Xj87Nkznm5PpVJ8FlgTW+J0sZubm5hNuFvQ7Xb5Ok3L7Sv5DBKJBNI3qNMjoSk6IJ1O40K0TR+P\nx61WK5vNjsdjy7K4HjK3VCo1nU47nQ5qicFfJ3xMMIIFxiaTSaA3KYTIZDL+mDk313WBIhRCNJvN\naDSKnV+tFjo7Uw8PnXzeRQMH1g1S61WrVeB/6adGo4HQDn3T6XQajVm9Hv/DP9y6vo5ubgpdj37l\nK/0XL0xdjzx4MFwuh48fp/r90F/8he444r33Huv6wjAcx1H+zt9peJ54662B6yq9nq7r7nvvZer1\nyIMHo1otMhgYP/hBtt0OZ7Ohd9+9J4T4rd+q/6t/9dPf/M3FdLqKyjq2WEyEj8Xrk0/iiiLK5fls\nptZq0UYjXK9H/+//zf3v/136D//hwLZDlcosm3WyWVdVxdOn6bffTozHW0Isfuu3+um0ns2O0ukr\n07RdV+n1jPNz0/PExx8nPU+YZiiZTPz9vz/80Y/aBwc/u6v5fE64CnKwNjY2JM8YXYvD5lqtFnVX\naQigz49Go93d3W63K7n18IyRCcU3tm2TH4M3mM/nAUWiFOSLF+pyqZyfh168cGo19cWLSK2m1mqh\nhw/Ft799+tf/ejeXWwohAr2sxWIhiSkG4tzXFCihQtjzvGazCToZKC9iKNFhnDSFF9kF2snJiV+m\neL2OILfZbPZXGI4v2gzD2N7e/ulPfwoOQYyH/f199C0pDUEW6PtLlV2Yzf17ffA60J90/lKpxCdW\nzqAghNjc3AT41PO86XSKlLzk32Aw6Lr++PHj+Xyu6zoq9TEMADV65513iIf40aNHpNjEdx5SQYHw\nCSXgNi4uLhAAAF8136avj3D4UdONRoNUOiXygF6vF4/H/VLa3AD5RKs2m01/SYhkjuP0+32CQ8IQ\n8yCvYmtra5Uw5l3MsqxIJMIH/2w2Q4bIr0+xxuEAcHW5XCqKwvVNKI4t3RihTNbvXba3t2kuowBJ\nu91GfCgSiZRKJWpDfonRaERvp9PpSMRfy+VyNpuh0oEgpavoAWKxGIFs1gA2e71eOByGj4v48Gg0\n4jJGo9FoPld7vWi/rz97lvjJTwpXV+b1dch1FV33XFcoivjbf9sqFl3H2bLtRTTqLBahqyszHrer\n1alpOt///uDgIKNp+ubm1rvvJkOhYbdrfPJJemNjHI06qup+5SvORx8lh0P9gw9KP/iBuVyqBwfj\nb36zOZ1mO53R974nolGj2zW+971CvR4plz3HUfb23F/7tdnv/M61qrrTqfbBB6k/+ZPykydpTXPD\nYXexCDlOqFKZWZbS7RrJpF0uz3/lV4a//uuhdHr5j/7RU2JZCIczq+CA8DaED6VEroBp2pubimmG\nNM1rNs+6XWMy0U5OYstlqFaLdrtGpTK/f38YiWwmk+r/+B/6f/2v+cHAuLmJpFIblqUkk/blZTSb\nteJxK5m0DMOdTMyrq8i//be5cHi7VFpsbMw8T9ndVS3rSNO8YnGRzy9+93d/BmoB8xCmCFAzCyFa\nLXU+1yIRV9dd3q+y2exkMsF4tG1F0zwhxHg87vV6krdBc9HHH39MiUh4q51O2LaVp0+T5+exs7PY\nYhHa3p6enZnRaOIv/sJwXVEquZbl3L8/zGTm9++Pf/d3Yxsb7uZm7/z8JUqVcrkcjUZRBohvJOEY\nIUQkEpEwPWu8DTx+q9WiLCcEXQ3DWDOxAOu96lepNQJNmmmlhPtfpVR+OeZ/Z41GA7Id1WoVm2xQ\nua0iFgw01I76r7WqnAmiFYhgDwYDCRJPFAtSAI0bJWIVRcGA8WtCvvfee48ePcIKFwqFaFHhO49a\nrQZcBXa04NKWrjWbzWi8DQYDLjCGErLAOxS3RcL+UND5+TlipMgK8Wd8ZcFhJpPhr2YwGKxxODzP\nu7y89MdgLMuCVir4o/zEz2t4dcQtEoX+DFzvF4sFCfby7w3DcBwHBG7+pAniwNzl6nQ6WOZBsUqb\nLVS9CiHgK5PrJkVZE4kEeRv9fp/SMdR/5vN5rVbb3t7GlAT6L2olfm+tVoscDs68yX0+UE34W2Nn\nZwe0ZhKAxg+5r9frhULB87z33z9vNMI/+Um1Xo+MRqVOJ6woXrsdvrmJhkJeNOrk84tvfcv5p/90\n8tZbdirlhUKi0bD/7M+U5TL87FlYUSKh0OLy0ozF7K99zbu6cmo18y//MtNqhV1XURSh68I0057n\nHhwsNG1xehp5//2UECIUEotFyDTtr37V+va3Z9/85vvxuJ1MJqvVJFcQFEJ4nh6L6aqqptNpwzA+\n+eRnC8y3vlVLJBLt9iQcdoUQ06l6fLwbiainp6fUpIlEYnd3dzazX7z4+SYnGo1+KnZ2yUj+V9M0\nTWva9nRrS/Zf3nor47ru17/+M7GVy0uz2Yz0enos5hwfDzOZnw/VWCzmOPHFwv7Rj9xOx2g2w0KI\naDTx7JnmuuLy0nz33dx8Pvkbf8P+jd+whFDm871eb/Hihf6jH8VtW3n+XK3XU42Grqre3/t717u7\n3v5+uFh0/+APIouFcn2dU1UvFnM/+CC0uTlLp61IxPlbf0tcXITr9Wgo5L3/frpQWIZCrqJ4yaQ9\nHGrf+U6o01E/+EA9OUk+ebI9naqhkBeLOd/4RjOXW5imPR7rDx6MHj5U/+W/nN6/72ja7MWLn5do\n3dZzJff394n0T9yKWAkhbNueTCbQl+EtBlGqVzY+wEk423Q6lZji6LVK2rPcXpuVS9M0Xdd51DAa\njQJ15Ccj/qXbm+Vw+NcGxCrAOQPSaOHbRiCGHxgH1nUdLJn+n9Yz2GO+XoU3JqDyqn/H5tIwDPgT\nq87T7/f9lbqS18UDHpJhsZQehFZQKIX6/0vTNNd1NU0rFourYK3IO6D8mGJL63PJEGSJRCI8Wb5+\nIIEQ1v/9eDx+8eLFw4cPeUUJWSaTiUajJGTKnysSiYCkGW7KYDAAPMJflNjr9dA3FEXZ3t4mPMHV\n1RWFRpvN5vHxsf8RuIu2XC7BTYI90OHhIVAFRHqhaVo2mwUsn/uLKLDyPK9er0PVxR8ZhnFvdY1i\nu23bZ2dnIK3iPbPb7ZLDsQofoyiK67q1Wk3qqICh1GqNZtNrNCLjsfbRRwXLUpvN0J//+dd03dva\nmu7vT7a2pjs700TCisftra3p7u6EJudCoYAVYjQaDYdn77wjhBBf/erPfi2VSvl8PhQKPXnysx7u\nOEo2m4vHN+PxuZ9pYzLR4vHtTMYpFCKGYXQ6nVrNFkIMh0O/I64o1nRqidsCVP4TChrxOZ1WUylT\nvAylQmAA+nkkUJ7L5abT6Xpnl5vkXKIYAWI0qqr6I4WIZfKFbWtrure3xP5b2hhMJhMhJkKIX/mV\nn3/58OHD8/OLyWTiecof/dHD999P/7t/F4vFvK0t9+lTNZPx3n7b3thw/9pfs7/+dct167u79f/3\n/7LPn8e/9730n/5pdLFQ9vedr37VymY9XfcUxW42r+fzULsdvryMPXuWGAy8TGaRSNjvvDPb3Y0+\nfTpUVdfzlP/1v6q///t6Pu96nvJP/snCNAfR6Llp2oYhZ04fP34sfgYEfmm6Rv2wECIWi+3v79fr\ndWj9nJ6eogsVCgU/xs5xHMnLFC/TppFhfAEhtKY6DDzRga94vcOxpho2k8lIa9NsNjs7O5tMJhBM\neGVV9hdpb4rDcX193e12oW0mZZf5di0Wi5XLZdM0Dw8Pr6+vF4sF1hUiPJDWJ/BoBfYVPnf79ZPW\nk4m9kuml0+lgK5nNZpfL5apgHQ/gozyEpDhhiP6tugrAWf76eKDnVrnqcBqWy2WtVlsTyqNBkkgk\nkN9dE1XiaPZyuYzZHMsVZDkXi0UqlZIut36k4QakPXehUFBVlXhZ0G3wU6VS6ff7cEH6/f7BwQGx\nnAVas9lEDCOVSnGf4+VC/DFPGcB4d1JVlWTAxuPx2dmZ5JPZth3YW8j5GI/HiqJMJpNXFoeLtd2S\nGP0llS/+eVW4azabtVotKRFp26HpNPuf/3Piz/988/vfDyuK2NmZGIa7uzvd2Jh/5zv1b33rRlFe\n6th+lFyr1QLTf6B33mg0sIpQ5ZeqeoVC+v+z96YxsmTlmfDJjIiMjIzIyH3PrH3puzVN46ZByB5g\nAHvssRkxsmAYe8CSxwJblrEG+DFehDyMEMwvQ4/GsoSRxjIStuURsmWMzYBs020PS9OmG7h77VVZ\nmZX7nhmZ8f14uIfTJ5bKqr5Lf/fG8+PqVmRk5ImIs7znXZ5HUWaNxssaA7KTfD6cSPyoMJv18HNK\neBysN37hwgXoRFJbBBKpeJVYcorFYqlUQnQVudLcUuS0IRZFEbx2rDAs1BsURQEL8Obm5nA47Pf7\ndICj8eA8pe9ieXkZckIsKysH6B6DEBZf9PnM971vb3HR3277fvADsd/35XLTzc0fyu/hW+XysFqd\nvPWtx29963EsFmNFEoBut7u19aPJB57mRqMBIuZAQKjVZp1Ox+/3/7f/NhsO2Uk7SMjmdDpFItpw\nOMS3IOPMCV8D7KDb399nl4BqtYocC3AkIj8MCba2vg2XyEi5XF5bW+Po+BRFYduTSqWm06l1IzSb\nzdjcLzhLIpEIUgzB2XhycmLdwlEyIRZ4TWCRRyTdoza/f2g2my6LGev+6vV6t27dWl9fVxQlFovR\nGWdrawtc19YZGV6T0WgEdmrIphNC/H7/xYsXwWYPFwgihU4Zc+cDO9NxZk04HGZdL+Vy2eruRj92\nub61JJgaMS4qdEC/37eyxVvTOTudDhK2WQatUqnEbtHYMRwMBq9cuUIzGKiAbaVSWV1dhaQtONPC\n4TAby+S2Jj6fz5pPgKI1umXP5/OyLIN5kKt6YDl5kDdqfQLXrl1DTZpTVjJ1b2CxabVaLIsrTuAE\nXbkrHBwofj8hxFSU6WgkHBwonY6UyQzX1jqIjpM57FdbRCIRXddBScLSadfrdSdLjj7e8dj/3e9G\nv/Wt2He+Ez8+lqNREolEI5HJT/3U0cJCv9MR/+7vSt/+drxSEVTVfMtb6v/1v976sR9r6DrfFVHJ\nTH0zCwsLsiwPBgPWteauvk157jVNwzYX0U+u22NvOhqNoIkaiUSs1csokEEmr8uoCYfD2IRkMhnk\nJSiKEo/HUUFDq+GazWY0Gg2HwzQayxlkiqIsLi6ydUmhUAg9nGZOsOfjOSBvt1wuo1yLddHBWPT5\nfMvLy/V63TAMaqO7TEpI20TxEWvVtdvt6XSq68LTT08IIdVq9aWXyoRJUAMlF62Bt16Z2x6AbY8d\n6ahp9/v9qqpyftnpdHpwcICIaj6fpxmpLEM/i3q9Dp4xbCC5T/EkoZmHI4PBoFarccyqVthOgIFA\nAPW9qBjgXE03btxYWVkBHRxugRDi9/vpMgQyU9Dh4K4xIUiSlMvl4vE4ZxqiBMmphewdeUyj9wlW\nrSwWVjMWzIacbYGZy3bupgRKhJBarQZ1b+SiJpPJ8XgMOStYzVb3uws2NjYODw8xhJBR6BJQ5Fa1\nTqczHA7pqLYNrlufjCAIgUBgZ2e2s6P2+0KlEux0pO9/X59MfMOhMJv5/vt/H2xsCKXSlBBSLBbh\nAnGqK+Gub7vuyrIM04GdHxVFoUwM6XTaSnBCrXVOwPbg4IDOTcgVpVUnmFbgdo7FYk5Pkt3FgnrV\nNrMED3Y4HOI5O3lKka/DvnS6baUEbjSq1emI//f/ZqdT39KSbhiTtbVut9vXNJsw0+Gh8uUvZ//P\n/yn2+0IoNO12oao6HY/9ly+3tra0bld8zWuab397+a1vrQSDL1uSrUwY1gR4Qkg6nZZlORqNWv38\n7BoPm/Xg4OhLXwpMJpF2W/5//y/RaAS2ttTl5eHP/VztzW8W+v3pd77T/cd/TP3P/7l+dBQkhPz4\nj0/e9a7JL/1Sq9/fGw4dQ4eyLOu6Dg10xOD6/T7Sn/GaNE1DHAe51dYrUJYtTdNoXh7ruAIwuqkz\nCZZfPp+nBnc8HqchGKQJ2ybxSZKEmnZCCBUEALcETbuh4P7k8sB8Pt/Vq1fZFCUq2kxPcOp15A4H\nGhewg0eEVYXEGHEy2oLBoIv6DBbC0WhE5yhCyPHxMYiCrOqPHLgfRWE2d85kMimXy//yL/8Si8Ug\nzoDj1WoVr7vT6RwdHVGDw4UbHmQzVg8BeHqQXc59xO1P6J+Y1ZE7tb+/T79ISwEURVEUxTTNl156\nydoS8AijO6HghW12p9NxCk3i/JWVlUqlQh/4aDTiOK+hkMd90aM2v384awky9uVzcnZBnJ09Ui6X\nscDk83m2PgIlIX6/30lGlUOhUKB6ZqAEONNdEEKwjGma5q7REAqFDg+zh4ehGzfk3V3ppZek7W0h\nlxv4fGapNMjlBo8/3szlhooy/fzn1/7Lf0m0Wr58fpbLzQghP/mT4VxuJkk30+n24WFwYeFlVto8\nhVuj0chqzNVqNQjnnrrJYIGMB+4gd6Tb7W5ubvb7fScGMLrHMgyj0+lwNhOCqZSY3IXDCmD5tYDp\ndHrhwgVBEAYD/3hM/viP5atXzd3di7duhXd3lYWFQShkVCrBdls0DF+hMHzDG07e/OaqYfgWFxNf\n/vLk1i3t2rXw4aESCk3/43/c/8mf3I9GJ5OJfzLxBQLmaORXVSMSiYxGC3/7t6P//b9Lf/AHa//h\nP+y84x1llALiKQWDsWq14/ORXk+8cKEkisp02iGkLcsjURQjkUgoFLp169Y//ENY04xaTT48zCPX\nMp0eVipBXZ9cudL69rdj+/uhF16Im6av1UoMBsJrXtNUlNjCAvmlX5o8/nhrbW1KiEIImc1my8vl\nd7yjTAjZ2ytcvNiGTE8gEKjX3dIkqSkWj8etQZlcLpdIJLC6K4py8eJFxG7YNRIBhZOTE1ARgMvE\nuohOp1O/38+aLNAWgeKMNbUFCdG0PTTEjoQYpAexrYULAfE1/IqmaVy+M0p+QAzf7XZxQYilgTzq\n+PgY8dxkMgkC8kQikU6nQV5uu62yHYDlchmF0OVy2RpRVVWV0ui5pIQvLCzgyVuFFyBm5vRFYDwe\ncwOQKwKnTcVyTpOi6NfpOez4ikQiVmlfCi4hQ9M08NNgFFuTM1i/uGmaKD3TdZ113JZKJWjZIPzB\nft3F90addtZtz6mrlaqqy8vLVupYQkg0Gi0UCj6fr9lsjsdjVo3cK4u9f7C+ePBh2O5xk8kk3PKs\nuY1tMSGkWCyyu1VEN7krUL83F4+o1WqSJHGBtHA4TNXI2KxJzCnVajUUCp0qPO0O2z3KcCgEArPv\nfCf693+f/vu/Tw0G4oULLVk2CoXOf/pP9SefFNLpPmfihEKht73tO5NJ4PbtlXJZ8vnIv/yL+JWv\niN/6VmAweEIUZ+OxP5cbTCZ+STL/9b8+3ttTYrFJIDCrVOSlpV6nIy0t9TKZYSYz1PXJ9rbabkvN\npuTzkWhUOD72X78eyeeH0ykZj4Wvf93X75vxeCMc9k+nkUTCbDR8g4EvmZy94x1jUfxRUSgLq12P\nfS3nMT45ObE1FEKhEPJSycv5ECmQboLfZSmKORiGzzR9zabk95utVmB7O5RKjapV+dvfjvf7wnTq\nG41CN2/KrZaYSEyHQ/Jv/+1gfb37pjedPP10PRT6YQcYjfytVuCLXyw8/3zsi18sBIMzv19YWTGe\neqr97/7dTqFQW17Ws9ns9743IYRI0gxztSj+0LJcXyelkvkTP/GNb3wj/id/svi5zy1vbHRRPdhq\nBa5d03s9lC+Zsxlqa+PZ7HB1tbO62lMU6eBA+qu/eqNh+OPxcb8vLCz00+khsi5keXZ0pHz603I0\nOrl4sf3mN5ej0cmFC+1UahiNTpCwwj0Q6AL2+31BEAi5iW7V7XadSNOZJ/nDp2E7BCB3DHZFcM9g\ne2d7qV6vF4lE2K0hBVV4pqkewHA43Nvbo+KorP8czJu1Wm06nUIqnQ3PQQuDbQmdTEDzDyP75OQE\n5WN0eUYQgZOOQ6U0+wToNh1kXGCRd3yIdphOp5IkOfHNLCwsDAYDFx4qNtnZOujmyRUol8uchWS7\n0HIiL/T/4XCY5U2nxwOBwMWLF0EkeOq+bnl5GWku+PPUenhEytBOKE5Pp9PIHXAns6W21utYQ9WA\nruvWpC4rDMOw3S81m01FUZLJZCwWa7fbvV6P+lPdGW7uG2wSbh84TpVzPCs4fXAKjnsD+xLW3YqJ\nBrJDdFIAjydqqJLJJJU1PxXUgqb7oWg0WiwWwXc7m81eoWHBwTR9Pp9ZqwUMw3/1qn7tWvj69bBp\nEkUJvfSS2OkIkch4PPa/5jWtn/3ZgyeeaHKOdxfq9GAwCEGWWq2GkTMYpERRefHFjmH4JhP/Cy/E\n2m1pOvWFQsZ47Pf7yXQqXb+OhVw4PpZN06dpRiw2zucH3/pWnBBfLjer1YhhkMnELwhmsdifTPyh\n0HQ2E3RdGo9Jp+Mvlabf+pZkGOSnfupoba2zvDyRJKVe98Xjdb+frKx0RdH0+3/YnxEPlmU5HA53\nu92//MtptSp3OpIgzPJ5eTptv+Y1jenUR/f9hBBRFC9cuID/cxwqpulTVe1739sYDHyHh4Kuz46O\nfF/72iQWm4zHvunUN536x2N/rRYUxWm1Kg+HftP0EUJU1YhEJpJkCsLsx36skc0Ojo6UtbVONjsi\nhEjSbGGhHwoZbL6YbaYLTbvb3d2lU202m+VkLQFFUdbW1thuf3SkbG2p+/uhVkuMRie53PANbzhB\njExRpicnAUEgX/1qutmUej3p29+ObWz0Nzeb73rXvixPm81ANDqmv1gulycTvyiaXEYnUCgUNE07\nOjoyTRMkH8iNwMzu8/m4LbW7GJU7otFot9ulRkk2m+12u04hACTTcEJlbDbG+vq6LMs7OztWVyJm\nBsMwIFQRjUY51gTDMFiqYlR9T6dTCCHpup7P5+kKbV3LKY0pMJvN2GxQzgziABJPrru6IxwOg8R9\nZ2fHti5saWmJK92igM+V2lJQJ+CCEba1Vxys0tZ4CDQ5Q9f1QqFwfHxMZ0VKUEQIYYkuZFkuFArs\nA2TrAJwQi8Wy2eze3p5LzIgFzbTVNK1UKh0cHMDS0jQNmxCMX+oMY+PsHCKRiCiKnI0Idwt8JKAk\npzkcFHREuzCPoeKa838gjeaul6ucKg1mxSPh4YjH4+Ab4I5zNjWSxVi36nA43Nzc5MS7kSJO8zHn\nj9dQ267f729sbMBNCgZM9xpaDoOBEAxODw6U6dT//POFGzeEalXWtImqTofDwDe/Gel2xWh0jE02\nvrK42CsUBm9/e3kyia6vi5ubg3L5aDjsBAKzfN4+X8zFHwi1Dl3X6SNVlGqxWJSkH658b3rTyywV\nOAZMswcCyr29USQSmk5byGo0TfL441dwpmEY3a5RrzdarRo+ZQWsCSGz2eyP/qj5ve8Fvva1zF/9\nlYCgwGxWaDRERZkmEmNRNH/hFyazWTMeb6iqcfOm8N3vBr75zc16XXzqqZoozqZT/3PP6dvb+XZb\nkOWpphmaZhDi29hoRyKzCxfIk09Om03liSd8w6EQDE5N0/f889E/+ZPFW7d0w/C/9rVGo+GbTHxX\nrhg//uNdQjrttqjrk1zOL0mxlZVhu+1LJHoXLsxu3KgaRlNVjVQqxm6kbBEMBqFttr+/z54JZg4q\n9EVerrKNjbL1aqDxZvc0udwgl+NfNM0OyeWGhJD3vOdHO0I2gZdaG1ST06orgdJxJFvcunUL/bnT\n6aD4wqkilxCC+BQoRpwmaFtomsatcy6+dEVRsGGIRCLst9iIQ6VSkWXZNnD5/e9/HzZENpttt9v1\neh2EuXTdhfRMrVYbj8eCIFQqlWw2K4piqVSyenGs7QT9OTYkPp+PC+a6szbhvlyi/gACJX6/X1GU\n6XQK750sy7YzD7fzYT2vVCwNWgG9Xg8foWIcRdrzsD5YS35wmyhYJYS02+3hcIhzYOGxW392jIxG\no9u3by8tLcHGNU3Thc4nHo9PJhPTNAOBAJt64oR0Op1MJmezGV2/wVFG+2q32+10OrR+LRKJFItF\nKittC1EUc7lcMBisVqu4Qeo6hbJEp9MJh8NIOgbDB2wFun9grQ2YOPSB4O1wz7bRaJimeapD8T7g\nkTA4fD7f0tISRzdJCFFVlZ19FEVB6jU9Yhj6ZDIcAAAgAElEQVQGthq2jJao/OSuqWlaMpl02h9Q\niKLIeVO4TzGMu13xxReje3tKvS7v7yvNZuDoSBmN/Ipi1GoyIeSJJ/oLC4O3va1865YmSeaVK8Er\nV26/8Y21vT1FEMjSUk9ViST9qPOl07NMRiKEPPZY9Ph41O/3bQ1lsDi4tH9vb4/rvmCLxwBWFGVh\nYQEprihFhtEWi8VisVgq1Ts4OBiNaO7by0gzo1ExFEqgMIIQAhoocqfSvdFoPP00efppQsiP6hQK\nhYWvfrU5HPqbzcBLL2X/8R+D3/tedjAoiKIZi00ef7zx27+9/W/+TUxVR5D5FoRWq9Xa3t67dUvr\n94XRSDg8VFot8aWXov/0T8Hf/32x05FisQ1ZXsHK2mhIP/3Tjf/8n3v//t+PX75JEIbD4HQ6DYWi\nPp+PkBkhWIl9hAhPP50dDqM+nw8eb3eDA0/bapcgI4x12LL0rC7ErCcnJ+D3dHLeuqPdbrM2BzAc\nDtleEQqFJEmazWaSJKFJ1mIHZPtzB7mMS4inFwoFURTb7Ta7BCL3UBAEdmEAdyq4Sea8ncFg0Ov1\nIK+4uroKZzjXMHBRO12h0WhkMpnhcEi3zv1+v1Qq0ZVe13Xq6B4MBrPZDKGl4XB4fHyMBQAsJtaL\nt9ttml0YjUat3FNOdPts89yfADhvarUae+ZoNLK+ZfLyKAlukL4U3Ihpmrdv32ZXteFwiDo+fEqL\nrXq9HhvGohMp+11ZlhcWFrCmsl2IntNsNkulEhtFtW7WT51yyR0uH7id5uk8VOaa231xMaPJZMJS\nI4ZCIRdrIxAIQF8iHo9Ho9FWqwVxH5oQgwWFXa2Oj4+hr+t0U9CkBD86OpjVSMUzPPWW7zUeCYMD\n0HWdvkIoQIqiyEbCqEyDFdvb2xhOpmnW6/XxeAwD2XpmMBjUNM1WEpOGVCRJOj4+zmazTjEUdNmP\nf/zirVtauRyMx8dveEN/dbVz5QpZWYkoymRvb1dVjZUVaXW1yGZCRSIR0zTb7WE6/aMbYVPZK5UK\nsuglSSoWi3DIg+efhlR1XS+VSmwFvy0DAVeaEQwG6cMcDAaUaYfzD2E7wl4H82A8HjcMA5swaKPj\nUxrrdfEiapryzneGwLPyW7+l3759m3s1sVgsFotie4Yju7u7fj9ZX+/QNrDr3LVruqLErl4dtdtS\nPj94/evrr33tJUJsOBgwsCeTiSAI1ixjOuxtk3ZpToCqquzTtmJvb280GkEVPRKJ4BGhTN+FCX48\nHieTSZZglEMoFMKKXq/XbT0l1qo/Ni6u6zqKHVzmelvdskKhwBHj9no96OhCK5EuUS41WZqmucRe\nrQmA9E8Q27fbba5hkUiE7XgcWq1WpVJh5/HRaHTz5k2WOZ79LnVEsax6w+HQtpSG7R7WWglFUUBu\na/tdlFlaV6NMJjMej6l54ZRy7rQ00hHBcZxQs8A6IcAgoExFmEa4wb69vY2SY9aXjOSb0Wg0mUyc\n0tsRgslkMqlUam9vz6kszh1Qbz4TtRohpN/vs90VdItUlToajXI5xe5ZCsiWLRQKuA6XseG0AFlf\nk6qqWGtQwccJGQqCsL6+fnBwwGo9ut7rfcIjZHBA62s4HKqqip7E9Vp3snqU/s9mM/et6snJiSAI\n2WwWSeDsR7QjTiYTpJs5FddhXfy5nzvs9cT19em/+leoB9MIIaZpjMeTJ58sIiLDfdEwjMXFxZ2d\nHTYhy0mw1DAMmheJfMlmszkcDlFYEY1GFxcX2+22JEnJZPLmzZtWKXYwZ0+nU/jSucbQcDhVYLHS\neqIZR0dH4LoghCwuLrJLL70Rp7Unk8kcHBx0u13wNnL2DSFE0zSa3A5wM4LVOtzcbK+sJBcWyvQE\ntrXT6TQQCOBXTNPc3t7G6mgVpgGc/Fh4OLgU3W/RrALOyKtUKqjBo78Vi8VQLMpuCtn8D0wx3Hth\nd7T9fn91dZUQYivfisRql9qocrmMqiunE/Dr1hQEq6HALuSqqi4tLdnWE9ITyJ0FFcRQ3EC2UgOr\nqtpoNGq1GgIQo9FIEAQufooFz+lH0f2so7XZbFKDA7+C/0ejUVBIOV3QBXRFhII51jPshq0nTyaT\n69evWxe58XiMIN35MsN8Ph8S5DnfCfb6ttkAV69eZcto2+22LYVxq9VCcIoQMpvNgsFgPB6vVCou\ncTeK4+NjSZLOZG1wuWjccHCS0AJoeTN7EBaDqqqItkuS1Ov12FSkbrdL/+SGJz3h2rVrSAya/0Y4\n9Ho9sPnVajVN06w0qcFgcGVl5fj4GKKhnNvsQeFRMTiGwyGkkFnCtTml1YEz+W8RK3U/zcXQRtLJ\n4483CSErKyt0Tp9Op1TgGIy8CFvSeRDVeuFwmDU42Jaz3Y5dSyDESq+zt7cnCEIoFJrNZoFAgMYa\nAQgzgt4bqxqXlhsOh2Fe4M9WqwVde5dcempPHBwczJ/RoigKnadAeTQajbgNB/XWUqCekDYmGo3a\nuv3X19c7nU4gEKCbA5okGw6HS6WSIAhsEebh4WE8HkeO5PHxMXRnMpmM+4wPBk/652QyyefzEH6D\nIUU/Yp3Yh4eHqqpyEzo89pPJpNvtzmazcrmcTqc5ZWNVVanBoarq7u4ua+4QJotzHl0PVJMmk0kn\nu2QymeRyOURAaJ/kFoxkMskZarbrdDqdRkkIwjpwRE8mE87djW0f1a0ld8L2lLaBnhmNRlkqz5OT\nkzntA9Z9wtpbsVgMnkJRFCeTCSpNXPhJT4VhGDRXHTTVh4eH1kY65fGMx+P5a9w4NjNU6llPwziV\nZdm6lCKbnj3idOOj0QhSmnCKmKZpa20sLCzg59hPbY1CW7px8kNZmZetcUhlgF8wFAoh75g9gT4H\ndI9Op2N75V6vd+3atdXV1WazyW0s2Qv6/f7HHntsNptVKhVuwt/b28MwZzs/iFOtP+cE9GcQRyFW\nZZomHK7Ykb5K7AyKR8LgGA6HNCma0t6BdNbdwj0fFEVxUW6bB9evX4f5LIqiz+czDAM0YoeHh3S8\nVatV0IjRDoqaOkKIrutOCXSse8ZKks3+6eInn81mzWazVqthh42cbfppMBhEDST7FfiH5kmwdbI2\nVFXllkZCSDgc5ma9er3OClvQfCsO+XweEvOdTufWrVtcrUQ4HMaIZXfepmnSSA3SxBKJBFfahwn0\n6OgIE8HJycmZjFpCCA3Vob6UjZdx07fVSBqNRnt7e8VikT6lVqu1vr5OTQcs7SDYHo/HtswNLg48\nLqrl9/vhKdQ07bHHHrOyAqDNL774YiwWQ0LDeDzmgimEECsfkSAI1qwFzk3VaDSsYiiEEEjEsXYA\n+FSsZzabTY7733qOLdgViN1XtNttLCrsojgej3Vdp14r2925oijwEYqi2Gg06NdN07x58yaoJwkh\nsVhsftpASMmn02nq/HeBpmlYqOgRp6eBEIBpmu4Er+4QBKHRaOBeUI3CfprJZCKRSCAQAMkbkvTp\nah2Px/v9H1bsY2e/tbXlFMUAWzn30wiCXLt2Dfy5bM1gIpGAF5wQ0mw2XejegcPDQ3fm6F6vd/Xq\n1fX19Xw+P5lM2BGHW2i325hnkL1BjQ+Wfl6W5Vwu5/P5Go1Gv9+3NeMgQM/SzBSLxXkqbO8zHgmD\ng525Go0G/kwmk5x5u7CwANXydrt9bgLydDqdSqWgnUMPcrscWA/u+/h6vZ5MJo+OjqhwFLosew6b\njQVvxNHRUTKZlGV5dXV1f3/fGoZot9uwvRRF4RKLdF13SSPgQK88GAxu3brFzj7T6RQEnVbZGust\nY1ydmhOHoAwlgqQYj8dWskW25nAymcCzbc2iwvYF/+/3+8Visd/vG4YBskiXxgCz2cwwDC6ggImP\nXd7g2cbcalvvCiBOP51OaYJ9q9XKZDKXL1/u9Xqz2cxa5ueURMatSaIobm5uwlWDPVAmkzmfNYyN\nKe3Js9kMIoLEklWnqiqII+FNwcstFovW3RsS2WD9BAIBWtyIRYjtFZTSG3DfuLPPGe5G64iGTjo3\nRpzekROdea/Xo8WBTm6ebDYry7KTz4AQYpomzClQp3Of3rx5c/7FgzWdUfJQLBbZqFYymYTzg1MV\ndhdqRkoHBhHKm13cNi78pwCdhAkhSBNmAx+9Xg80ndRpmkgk8HxisRgKgrrdrt/vPwdHEVZ0tnn9\nfh+kcPQIbpOdDCFPI8syJSIDMF2cSm9YqVQ0TXMivO52uzQTq1arlUolTdNQVl2pVCRJisViNLjD\nPnY28wwjjs2k3t/f9wyOBwPbjTUiLOwRWZYlSRqNRq9E7gQZyNZ1ka0XME1znqgBVyNuzVFlBxtV\nu4Cg+WQycf8J1ucMYOrsdDrzyDGz4BYbGtGw3XZAeo2OvVKphLcAaVmnmAuK7qyb7/F4DCHmVqtl\n+9Yo0SfNI6E+YW7GxGKQSCTy+bxtG3w+HztxR6NRaxH/97///bW1NXbCVVVV13Vd16fTabvdptM6\n6kXp2gbtHu5qfr8fTlfrbjKRSKRSqVPpnkRRrFar2WxW1/Xd3d3t7W1QRLt/i/0614u4h0Yd/ta+\nxF2q0WhEo1FOXhjcGGxSXiaTQapKp9NhmRUIIbu7u6zQNus6Qu00x5cFsJVogUBAURRqBIN0i+vt\nttaGS1iEtYFsvVm6ruMplctlpwxNGpd0SoPd399HflImk7FGH2hgCF4B7tPj42O2YfC/cmuk01xB\now/wvgyHQyil2VbqapomimIqlTpTeTO5M3dRuxxkKqxDq1arXbp0iRr3Pp+P1gzO75dSVXVxcRFh\nUO4ZYvsHo5zrdcBoNBJFsVwuT6dTzs83D5nybDbj6FAJE1jk9lrQRvH5fFCZZz/iLFrDMFDtHI1G\nVVW1Mn/YsiM+WDwSBgdk2KxTBjsOJUk6ODgQBGGeDuSEcDhMC7I5uFzWNgApy/L8/gYOZx3wAPU9\n2m4H50QoFMLetN/v2zYDMtyNRgNKzez64bJ8Yq6x5if2+/2tra2LFy+mUimomLL8SyxarVYsFms2\nm1QNnBvMADKwsABAJwU5HBi3WLknk4mqqqZp2gbjtre3l5eXJUkaj8cQftvZ2QH1E5tcwq1z2Hip\nqkqdPUhZGI1Gqqpy6wG0c03TxOSOS9kqi4KrCmmVOA1FSVbnky3cbdZYLLa3t4cpmCPCsoLLzIUj\n4caNG8vLy2w/QeUzhmqv10MCCpW9PT4+ptoc0WiUBvIkSTo6OkKIhxtoiqJQ64dLl5mfYJB9sIIg\n5PP5RqPR7XY1TWOdYclkkuNhg6wS2MmcTJZoNIqMP/eZh6q9uDTP9ieobjDQ7/et/TYcDnOzDYRC\n2INsZ7B6qoLBIBZIkEm43IgTuBHBRUKtrkRU3jpFaUGcr6pqp9OpVqtwUVSrVb/fzz3DQqFAE27I\nndw48vIA4nA4vHnzJp2lMUPapvxHo9F8Pl+pVNjexSX8CoKA+crJJeYUIbJ6gnu9Hp2UuPkWW1/b\n6zxAPBIGB53CWEDLYHNzk4YtXompQQiJRqOGYTjRHqiqyg1pURR1XXeqSJwzWBuLxUKhULfbdVk/\ncrmcu7+UQzAYtDU4sNV2t0UEQdja2hJFkdvtLSwswAV6cnICP3wgEMAikclkAoGA++yPWphQKGQ7\nRKG91Gg03POtRqMR3ew2Go1kMrmxsYEjbIgB3YClgwShBRwzSMwUBMFpa2UYBioVkTeKg+1222Xw\nw6MLEepisYi65VqtRnNC19bW2GQj+PDr9Trbo9yJ2tjZvNfrLS8vBwIBeLPOxzVcKBToet/r9UBd\nZZv/EQwGUUDLVvDSp7e1tcUl2HPpyXAF4c9+v//iiy/iamxPoKYMCtDYZpxVR8kW7LOlvH/Y9LOn\nobIDTA+TyQSsM041SkAoFKKaZC41C+FweE5pJwqn2JDf77cmroVCoYsXL25tbdHRjWyS+TcecH50\nu11d1+epN7GCe5jgqsebfeKJJ9hXQCVgstksGzVgb5nSsqFsTZIkzrsGZLNZ1MjQI9VqFWbT8vIy\nK9XLDpNoNLq2tlYul22rlvL5fDabjUQi1G8nSRJ1/CBd5tq1a7auFEII5o18Ps8Wss5ms8PDQwjK\ncOtUr9ezZekYDAaInudyuXNQgt4jPBIGB7dRwwjXdb3b7YJ1jjs/EolAyhl/uouwU0iSZBu5DAQC\nVgc+ISQWi50pIdkW6XSaXdhsYbU2sBt2Ksp1Sqfw+/2FQqFSqfT7faewi+2DikQio9HIMIxWq4WL\ns6c1m002Q4oF2H4CgcD29jarfMvh5OTk1BcUDoe5uqHZbBYKheDnGAwGrEwGeXklRa/Xo2s/OKNS\nqZST9htgpdIHW7PtyeAGQA8BU7VpmqwxcfPmzUQioSjKbDajTI7zi/nJsswGR8BnCg/5nFfgEIvF\nrC6Nfr+Ph8mlQA2Hw+XlZb/fH4/HbZ1eLsSU2KHSP9HrECazXYB7vR7qUXGzLBnoWQHuO7/fz/VM\n2gmxQA4Gg3a7DYZNTPqIBxFCoB3DWhuQZAqFQqjYGo/H/X7/+9//PkJLLiYjfQjLy8t04VxeXoYf\nkT5tRVEQeXQhrZnNZhjFg8EAaempVApZZeySb40s0zQLl0R7LlBrS0dkjdMRQlCxwh7x+Xz5fD4e\nj+/s7LzwwgtQSRVFEfp8OKdcLiNUCtcFa2j2ej1Jkmq1mvteCwnmXF/Ce4RWnK2ZAkSjUVsnNBK9\n2Y53cnKyuLh4+fLl8Xh8cnKCLsEKnXBAwi+5o32B2mbMnNZd8WAwQHIrt07Rfnt0dMQJzj1APBIG\nB5vdjVRkwpjJVsAZBesB7mJucqdmJttjrG5JVOEi08e6PJxvuk8mk/DiGoYRCASs1VaA3+8PBoNs\nXiQLuMFPbQBojNnCehTara6uclQf5I7KhvUiAng9XU0iW2ujUCiA5u/GjRtoKv61TqanLr3RaDSX\ny3GzZLlcjsfjKJNeWFio1+uQYsLIdIkmsClvFKdWPyaTSSsFIfZk7Abr+Ph4eXnZ+vVarYb51zRN\nbK3mlyCpVqt0LREEwXbbeqbqTSdXttPWdjgcQkcecyK7YkWjUZdcS5eCWycPEzscWq3WnHFJq7Pa\n5/MVCgXTNNmyGlVV2UgcPO34f7fbRa4GZ0xzvyKK4vHxMffuGo1GLpfjtrzcGwE1KrhBwX8DbyI9\ngc0McEnDkiRJkiTIDNHeDtCnLcsy10kymUw6nUY90TyM4ABiB9wrYEfW8vIyZlfYB+y94M+dnR08\nhNFotLOzs7q6yg3MwWBgy30niuLu7q5LcBm8ZDA1kD5FX9z29jaK3lVVtQ0+ooJa1/WNjQ3UzVqn\nPtvRxG0OT630AcuLrutOg52dDDudjtMkjHRv99+6P3gkDI5gMPjkk0/u7OxgK2kYRiwWY4cBxrYo\nitCtYH0Vo9HIaiNTM3M6nYIMQ5IkdlOL4qtMJuMSGYGXhfZyJ3+D9afB9IwMA27k0/63vLycSCS6\n3S6nyEwxT2YoxttwOKSDHI5T0DZvbW2B6zoej8NEs+3rZy2fEwQBRIT0CDfFzNNysG7DjgkEAqZp\nWnM7wJzTaDRA1AGv43g83t7e7nQ6Z+XkAWm6kwtalmXQiXILm3XVBIWG7bbs8PDQNE1k7Z2pbYR5\nhk6vA+S5trOk1Ytbq9XOFKrAyZS2udvthsNhcKITZ3uxXC67yKNQ5HK52Wxma+vMn/5sfaTj8fjm\nzZtcuCeVSrHC6+x65rS20YBmOBwOh8O247Hb7SJUtLy8jPoLbjTBUGPvERK17EXAl+N+m4FAAH0e\nT6ZcLm9sbNA70jTt0qVLhmFYC9zY35rfMO33++l0mmNhoUA5Biu0piiKruuUUoL7rX6/f3h4yBp8\ntnyDhJBUKiVJEvdGuO4Nqlm8X0zXg8GAagAh1RpbkeFwWK/XWVcN5IGOj48XFxeTyeSp5hf8KKPR\nyGXfVSwW8Wq44yhumpPrLBKJ2CbPcdREDxCPhMFBCAkGg7S3WSUlY7EY/Ir480zJHOFwOBgMcqwV\nVP3ZaXCC/hL8OaPRSFEUOvlyl7KmlLJKidw9appWLBYZkS2JejWduHEIIZlMptVqceYOEuKOjo6s\nQxq0/BCMZbG+vl6tVp0qxecEsjGoYjghJBAIzEkFhntE2Tptuft3u91uvV7H1pMwi+I5aAYGgwFy\n6ev1Ohdwwf5snoukUqlKpeIU9T9TLs6pAB077e3cW8vn84gGiqLY6/UGgwG74HHrh1NQjBASCoUC\ngQCqiOnB+eNBFE6RzcFgYJpmsVjsdDrnY7x2AbeoU997v9+fJ78hEolEo9FYLIYIhVOxKIYeQkXx\neDydTrNqsaqqFgoFNsmp3W7v7u5OJhM2PMH1WC7wAU8DlzaLS7FGld/vpyy6LCRJMgwDXFLzJ/1g\npr106dLKygrsePbTvb09qsIDICKzvr5OG8Btw2q1GmYz7AzxYNlrXr58mRBCtVtZWCelcrksyzJi\n65ybBNJxoiiiCC6fz1N6AhaNRkPXdReOR5ASwbvA7WE43wnoca1XmM1mrBUC24U+NPb2kScLpmnW\n5gCDkVML7zMeFYODOM9xyMfG6LWu06fCyVXlsjnTNG1paQmdAHKg9CNrz7DycDvtY4Z3sLS0RA/C\nDz+bzUajEetuoSM5HA5b07bD4TBKs5wqTWwb0Ov1MKUmk0lFUVxkPihSqVS32+VmB0ge0Pz/Uqm0\nu7s7z/yOZzUajazsUi44Pj4ul8uapuVyOat14hIOh1+EfXqoI+j3++FwOBaLHR8fn6nGGEEEVq9k\nHnDkzeSOQBQSU1zsLTCmcAdBsAjnFj0YDoc1TWPvlOv2uq5HIhHbjOl+v4/l01319FTYjl+/348u\nN6epwXr4bZMJOLBjk9xZMyhpFXFIaEAWDoJl4FN3ckolk0nkWtIj9Xqde1Cj0ejq1avcJpW9X+xb\nOCPVWmJt24BWq2WaJpfhhDWY/omlES+X22aAbMo9ujcej4PBYC6Xwxtkw9C3b9+29op2u00PwlKx\nXh/JzmBDptHScDi8s7NDxWBdmkSxs7NTKpWsgxSiiYQQeHOn06ntLhT9AcIldK/CgrWWEGHHiwuF\nQsViERR8hBAETWzZcbjfDQaDiURiMpnQ34KOriiKSKvCjM16JXu9Xr/fP7WO7P7gETI4bNmlsHug\nhApI2SOE5PN5zrTkLoXunkwmMZKteR4uQECkXq9jjkAgEx+daopyLIq2F0dtHhahxcVF5CqCx9cw\nDOwIJUnCVsZqFiCpG/+33VZSdzo4vGezWSwWCwaDdL05OTlZXV21hm+5i0B0yvYcdrsWCATW1tYm\nkwnSLIbDodNmen6wCe0wU7rd7vb2tnVaUVXVyWhAzodhGLBNl5eXG40GnTWoh9YKSZIgrjuZTPr9\nPpX0i8fj8/CgsPUguVzOujECucU8IlXIBOJkP3O53HA4rFar1PFDLD1zPB5To1xV1UQiATIol2qj\n4XCIeXAerqQ5YZvJEQwGA4GAra1crVYVRVEUxe/32zZ1Y2MD+hSmaWLLyH6K4+wqAu7qw8ND9ue4\nBZL7E2lD4XBYVVXbfIjxeMxOVuhFWDNgJHFfOTVCj4o826gTnArHx8esCh0ESOv1eiQSyWaz1WqV\n2jfHx8fsTt0pS4yFKIpI411fX5ckqVqtskPemkyGYCjO0TRtbW3t4ODAuv2jXSiZTCK3iQ1XzW/o\n7+3tuUQccOO2U64oiqCQgeSNU5CRPq7pdEofIwIfbHqck5uEmx7xomOxGH3sqqoi140Q0uv1bD2p\nd6VW667g1dKO+wBO9no0GkGtmOXr3NnZKRaLiCDquu5kcCAIIgiCaZqQYXMJq7N64hQsG+bW1hZV\ndibMDgBagtxIsx1IbO46uSMcQ+/o8uXLWC2oJUFZqBcXF62RFHZra7swVKtVqKVQR4J10jEMI5vN\nGoZBnwy3zCD24bQ3AncyxioUegeDgSRJ4XBY13VKlD6/6goH24XK9mbdqQz9fn8+n6dUWuwW36Vt\n+CHOIIBFxTrGOHIwilwuhyKj4+Pjo6Mj63R5JiIWWZYXFxepsORwOKR9qVwuI1uQWDxtsGsvXLgA\ntR0cPLV0Ezdufc7ZbNY29ixJkiAIZ02vhp8PPjyrgwpLLEenjcZDwwhZmfRk9hxrZ0DJz5nkEVqt\nFqhoms2mk9sGVBDcrCIIwmOPPdZsNjkWeaRYuiz83W43EAgUi8VyuezULSuVClikDg8PMefEYjGw\nnrBfAbcm/RNsMfSn0+k0Kpnr9TplH2fTp6DBRBdRGApsM6LRaCQSoREl8L9ls9lGo8ENBDo5HBwc\nuGc1WSuEucBQv993qiLGWo4MYi5OahgGfTIoebN+vVAoUIOD2xhwUx/7dVmWZ7OZdZhomobM4kgk\ngnQfZL1AOGk8HtsGghEVsh5/IHiEDA4WiqKsra3Bx8D2A8Mwtre3IV7gsmBQWs96ve6+5iET4lT+\nXXAwnJycsEH62WyGdIRqter0K4FAAHpddDm3ElNOp1Nq4Xa7XXbY1Ot11g4IBAI01gM4zfXWsk8O\n1irzYDDIUqziV5zkbJCQv7i46Pf7OWZATdMuXrxoGAbEEk3TRGSapZS4i3towCmB4OrVqysrK/Rm\nX4n8I7GE4RYWFpAqyN5XPB7nAkb9fl9VVcRHbANP8Ig45bSC992p5cfHx51OZ3V1FdTjnM7c7u4u\nuMnJHQF3+umZzMHRaGRrJIGEbc70Fw7ouk47XatLYDabwUynCy2ZI51rzlAOt565h2vB8WXd8MAD\njykCq/5kMolEIrlczu/3u297kLDskuYyHA5/8IMfrKys0LY1Go14PI66X/Y6+E8oFMKrZ1du63zI\nDW2wXKytrbXbbVDqsX1eVdVSqcQ9c3Zvxj0NQkin03G3Nmz74crKCjeI2LcDHex+v4/ZFQfj8bii\nKE6N6XQ6hUKhXq8jqb9QKMCvzM6lXHiO7QPRaFTTtPX19Xq9jlJq29guLashhGiaBrp0lA7Y9qjL\nly+DHs22zQ8Ewsc+9rEH3QYe89f7zXuVe6EAACAASURBVAlRFAVBYCn28vk8PHuDwcA6p4CirtVq\nndoSF2JdkL0g2OZec6jrOrIirJkH6Ewuv4Ly3Xa7Tc8Zj8epVIoOQnhH8X9wUrHmyHg8XlhYoCej\n5tvn8/n9fuiwz8/GSAGdVVEU6/U6uwJlMhmWbzEUCkEjAGFgq2UzHo9RTgnGAvY4aElPTk4Qj7Am\n3MxmM5TCuocV/H7/nBlw0P+0/QiUqYSQTqdTqVTOp0huCwjGskdms5ltOGkymdiaRJIkBYPBYDAI\nykvbWQn7YwR3bJsxmUyCweDOzo51/zSZTE5OTqbTqaIobO9dW1tDZJ0+NFEUY7GYUyIO5nf6ZzAY\nRClZLpdDPrWttQe9CdsLngpUhgeDQatFMhwOwb1GCBEEwXYILC4uZrNZSZK4BdWpSWdiV8tms7Qi\nHQ8QjRmPx9VqFSNlNpspioJiNCT/aprGut+z2SzbtmazqWkafD8uP40wAf1TURQnJsPJZIIUTnZs\nztP50+m0JEl+v39nZwdbKfqtbDYL23eexHOwXVmz2sEpQh+4tUmpVCoWi8GbZfsrm5ubmqZFo1GO\nb02SJE3TbO0bcH2il5qmiVrZZrOJnBIwr0DfGNtIttcFg0FUwouiCNlI2y6HxCz2yNHR0cHBAafq\ngB6o6/rCwoIkSfc0XfQcxS+PkMGB4CvkvhKJhEtqXiqVCgQCfr+f9i2kO7gPJ271wtowvoPV1dVI\nJGLlyozH44VCAd1iHkktOJlpS2yblEqlEomEKIrYKkG0HVtVayVCJBJJJpPhcBiaXkdHR9Vqtd1u\nl8tlsGKflYmyVCphHmfLbVZXV8PhMKuXCKOe3CkP1jQNkyb79pETgPw79ifYGwGfmLUZyMVzemV4\n4Lg1VVXdN7KRSMTFZ44kNVEUb9++zf6cpmks4Ru4RMkdAVuX+TQSicBEOD4+nt9JYLuQwDE7GAzq\n9ToeMqU7RANEUUSdzqmDziUojmgX+4ggIFKtVunq6/f7l5aWoMGbSCSgfokfRWTTNE06by4vL2OP\nSCk4bU0l6PK4N9sKJERjbI5Go0KhYL3IaDRCh0ScRRAEpFWiwYqiIGbP0YRns9lisXhWRQJuiC0t\nLWFcdDodd3MfS/5gMAiFQojDcnTaXGLZZDKJx+PuJjiXLnqqJNOpkCSJHRSon0eGEHogyw2KQhhJ\nkmwFXzhAV9naPEmS6CaK+/VSqYQZj9wphYVhxw5w5FeFQiHbpToQCEwmEzrWwKYPJxMtNiaEmKbZ\n6/UoexBIO8gdkyISibBTPdyW9E+fz2f73rk8btM0bQW9E4nEyspKNBq9D3kb5zA4HqGQClXSazab\n7jEtLLSgoWw2m5IkFYvFk5MTaz9gXffo2U7kcePxuN1uW5dGkAPOZjP3mg74w2F3u7Oeo6shdRzz\no9NiCVkTQshoNMLUSacnOqLOtF+PxWLJZHJvb284HHIuemgfqKqaTCYnk4miKNRab7VaMP4KhQKq\nl7mndO7giMtcyU7xsiy7ZKG6p74SQlCMYDUWM5kM22FCoVAymUTZQjgcLpVKzWYTsTBWRwbcSqZp\nHh0dvRIRQSu2tray2SyyhehU5fKIaJwbsTD3i3NuW2TAaZpGg4nI02QrMHO5HJJR0FXAfDWZTCgr\nYr/fh9hvMBi0ZnxHo9GzqgwCXFWFbe9qtVqyLIPyAesBK9Q3GAxarRbqXWlEAJKwEFhxT+nY3Nxs\nt9s0TsoNMbopmvPuOp1OuVxeWFiAVAINfyANpdls0ptFyJ9+0ep2BQ8eG+OYM3smk8nAcqUjV5bl\nRCIBWwpeOugDVCoVJ+5OjKBqtYoI4KmLmVMkBTGUlZUVmPvU8ZZOp2lyJeDz+WjBXTgc3t3dhZWD\nxFiqFE8xm812d3dZG242m8GjjN2dU1NpH9vf37c2m/NbgNnIGoVnjRIngBZyPB5DrwNKja+qkMoj\nZHCwy9hgMMjlcu1225ZfttPpdDqdpaUlpA6ARGFxcdE0TS53CTFUrkTNdrPY7/dtN+K1Wu3g4MA2\n5kKjj/CPITeq2+06RccFQYCmlxPZFwcwZp4aa3fSyGARDAaTyeR4PD48PMQkxT1SWZZ3dnYwVqF0\niuOGYVBXkztZ+KlwMvUAVVWDwaDtRtk9w+Z8EnpcmRwqI2q1GpYidDB8JMtyPp9XFKXZbIqiOA/T\nxsLCwng8ZndUc6JcLqdSKbh8Tz05lUqhsBZ+ePduAPdJpVIxTTOdTqNTBQIBZG5qmoYsSBbIdBsO\nh9FoFLzg7AaOpi4CoVBoY2MDgquqqqZSKVrIcFZwd8FF1inYZ8vmlQNYQkRRvHTp0mAwwIvDUq2q\nKsJbTnk/qG5zetG4SLvdZp8Y7duyLIdCIW7RQmkrIWRhYQHEhogAlstl9mYTiQR7U+PxmLWNdF1H\nIi2raz0PNE1DsZ7P52OVeCFvS9M/e72ebeGoFWgzqnJkWZ5Op/PUW1EMBgNMKclkMhqNLiwsoCuC\naw4hY+4reJusdXV4eDibzTjaN6ck38Fg4JRzCmB/a6XsE0WR1iiwKBQKsViMmkqyLC8sLHCbZJ/P\nx4lkobCfMLrEjUZDEAQUbTlJt9xnPEIGBxvpp2TbhULBSfmMnWIGg8HVq1fX1tastbKcYetkcNgu\n6oFAAL3c1sGOQjL4GNlyDyf7AJx0th+54FSXKXYbuCnWo0MnQZS62P40jHdQJtOxWqvVMpkM9rXn\npgiLx+NsmRkhRFVVNruNsz/AK3q+3zoHdnd32cmd05hg0Wq1ms3m/C8uEAhIkjQPV4ctl0y5XIbk\n/amFFRDsZo8gH5n6z3BQUZRCoQAqSdo38vk8rU1QVZXLRAa2t7fxRsAqBh7x2WyGiCHX8n6/L4ri\n4uIiIcQ0TVvW6jNxUgGlUslpIg6Hw9iNIJ+J+xSxBjD3hEKhSqVCn1Wv11tZWVlaWrLNdQXNCXn5\n20F6Ezu3dLtdQRCWl5drtVogEEilUjgBlpamaZxD9KWXXiKEYPWyFUyOx+NIaaLPLRgMsn2AjsRE\nIoHNPaS/nIB79/l88Xgce2h2fA0GA2jEsF/huhPEpFzceOPxGHSfZzI4KKhPGlKx1ITNZrOsJUE1\nLrhM83K5jMggPeI0gQQCgb29PadPU6kU8vqtd2oYhtXasP7WaDSyNYtBd9RqtUCTTfNb2VmROlm5\nu35QeFQMjr29vVqthkWI7VgHBwe2rirImXIHa7Wa1SHGTnxg0bZtwPmSd05OTpCNcY7vng+sV5ai\n3++XSqW9vT12QNLl/PDw0DZEJUkSLG7bBdU0TVSj2TYjGAxCbt5J7RpxGfonAvP0TyTt4//zl0sE\ng0FwohNnWRAK9CWnRe5Mvgd3S4jbPLFeYnfYGnPUKxCJREzTjEajEHCnpM60MbPZjN2jUwsDftrD\nw0Ns4guFQrlcZpeEZrPJzq1IpEdIG+IaeHHsXdfr9dFohCO6rtMiERYoR0JejlNJy5lSOhKJRDQa\ntfWKxeNxjiWPOwFVVMj1Oz4+5nwtg8EAurX0iK7ruq4jFwRH2D6J4mqO2RqxfEoGj+rHSqWCra0t\nq9D+/r7Vk0RvAREEn88HRykXLqEjEdUup85XtP27u7sIl9hSeNlqkQC0/evr67QqmwXY5a2MxmdF\nq9VSVZWad+VyORqN4u0YhkHfHcfcivZjJpEkKRqNcjeIVxmLxSh/F8C5iNLp9N7e3pkq1Ymly9m+\njkqlgmkKvg0axbYyAZI73s0zteFe4JEwOOr1OjYEmFy4Bcx2NULCBHfQaWGgS4KVOZjC1khnT85k\nMsibYydNRD00TVtcXJyf/PTcoNSikINnR5HLhthaeSUIAtgPbTdJ2D9hT+YEjlvJ6q7sdDrFYnE4\nHKLBYASnn7Lnz5/1hlRKn8+XSqUEQeAcy9wGCH3JNM14PK5pGtiK5tH+AGgQbWVlxX0Dd+48c/fV\nt9VqFYtFRDGobS0IAu3k0+kU6xMqGGlfbTQaxWJxaWkJKcnErm9z9ha712+1WiCG4V4r/d12u721\ntcX1dlmWd3d33S0zpHnS5Q0JT0ir5M7EK6Y6GqxdpWnabDbjomzD4RAkYMPhkF6/2+3CyWGN7MDf\nA28QdrH5fJ4TxWWXYfR2bl5qt9tsThU7IlyyoZ2OU+s8Go3apouhD8B7dCZaEUJIr9fb29tbXFxk\n88AAOF2m06lLbb97zjLbWgTpzrp4E0uE1ynpnmshO5wxXqhFnkwmsZtCGgf7rXA4vLy8XK/X/X5/\nOp1utVpnbTCrL6PrOnKJsDoEAgHsrFj9oG6322w2adIJ6qeQrMoOhzO14R7hkTA43FOfnHqDdR4Z\nj8e2iQJzZlYKgoDqKdvxbJpmJpOZTqfWDAzUEbhYG8lkErFbcke+YTabdbtd27wqmMO28VS6WW+1\nWtz86KIhrmkaCoDprMGmrFohCMKZ5MfweJFERq8ZDoeHw2EikUApL5vTd27QbQFYrejxcDgsy7JT\nyQAYAwOBQKFQAOHm9evXTw0VYQkH/6P7OnrWys90Oj1PuRMhpNlsciz18XhclmWQrCAKduHChcXF\nRZYhhn6FVvq4Z89YUa1WUQjmNDARgUL6myiKwWDQKidmxdHRUTqdRsw+EolgXhYEwRraME0zEonA\nSmZ5qwgh4XDYNrtiMpkUCgUu4RE909YpyB5ZWFhAaQbCozjIuijC4TDdrVK4GMpOE44oiolEgqud\nIXeUium923632WxCivZ842g4HF67do07iDIfaCEpiuJkAbtbxmwncdnRZTIZJ69kJBKJRCL0U/Yt\noESF88Fggeeu1ul0ptPp8vIyhG3BzUVdF9FoFGY3EkgDgQBd4F2sDZgsHEzTZHtsIpEIBoOTyYSy\nvZVKJeTHcN+i//f5fIhlg9oAL5RLTX1QeCQMDqc4GQXtLqcCJc7IQjpHZFFRFKe1FuPKaZE+lV7M\n7/djmRmNRlDQsHZ01N82m01asAPY5gOy+y1ZlpESaP3pXC6HrlwoFG7cuOHSSIpKpcJKPs4JtoXQ\nvsHsHw6HrcqQrxDc2tbpdFxsSrya8Xh8+/ZtiOvOk5hCs0etH1kXsEwmg+X51DTJVCr1CpUhOSOg\n0+mgmmk2m4EKCe9uOp2ORiNRFK3LzKnAVM4FCq1507S/zX9HlUrlwoUL7JV1XV9dXT05ORkMBhzF\nH/7DLcBONlC3293d3eWG4dbWFrI4Yd87taper7Nbf8SkoI2H+ltd1zmHHwSe5jQc2ZuazWZcgo6u\n63RhQ4zSKczhkml0PhiGcXBwQN1FtoLYkiS9Eq1HIBqNcqpGULIMBoNwtbIDbTqdovQJf5ZKJVZo\nNxwOIxnCar7AsMbOCqFeOk6bzSYE9kDvtLS0RBcdXdc5EzYej9OSb1A+sp9yfQz0HuwV9vb2YHCw\nWwuuAAcQRXFpaWk8HoP4xO0J3i88EgbHKywl54D+eg6ykOl06uJyp4Xatp/G43GXxcY0TdrzXLh9\nBEGwTTach4PBybqi40qWZae0fCvYDcc5wIpMnoOJ4RyYJxsRLFjcwUAgUCqVqtUqKDFO3abbasUN\nBoNYLBaNRtPp9MnJCX10XJo6gjvzaOYBiUQCYRFamWw1PbEYYHajB3u93qlUs+7o9/vRaJSui+Al\nq9frTvJvthcJh8PQoWWNeOubCoVC4GxleQuazWaz2QRZBbvfcPG9WY1abLg7nQ5MIidPD7feNBoN\nwzAWFhboI+XajExMSZIuXrx4+/Zt63B2IRIEgw57hOYbHh0doX+m0+lcLsdxdt0LaJrGSS5YzwGz\nBf1zHm8ZeEfA+KfrOg3tra+v7+/vw2aCcA+1tLh5lf3T5/Mh8aVareq6nk6n0Qe4sQCqGI5UngVb\nZHdwcPDYY4/RG3zssceQ/2cYhizLiLPQXrG5ucnmC0LAgS1wc9rIZTIZaDm56MH6fD6nOqwHgkfC\n4Dh1QT2Tr8LJAW6ljgb1QjAYvH79Oo5YN8pQE8Csh4tQ4gfQLE4mE4g2ra6uVioVKglGT6NCHqfi\nrDKkLJw6NOaLVquFHEPQirChbmtNObYdoKmwnVxQwgq+MtsTTq03mb9gIRwOJxIJWwodFufmAolE\nIoqioLyC5sO7wNYiabfbpmkuLS1BXgcOHmzR2MVMEAQnkgMKTdPy+TwYlqrVKhdusI6USqUCRz1i\n1SDEc4rusRMlavk6nQ5L/0UBE2pjYwN8vp1OB8wNMCWdZIo5YO6uVqs0148mA1rBVqOIoohFpdFo\nrK6uFotFVVVPTk7OR+xB7jy3+eNKnU5nd3d3YWEB+06re3x3dxeyi7qu03UaVCWmaSqK0u12MdA4\na8YaD0LX7ff71BquVCq2mn9zwr0ElBCCgAIEHd0vpaoq1wyXZ0jfMgRZ6HFWy17XdToJg+4Tn4ZC\nIeoPKBQK1n1dNpuFSbG9vQ07WFVVVJeg5Hs6nc5vynPTBfjH0PjRaLS1tcX2tP39fQSeaO1esVhE\n/7S1LNkJ3+UJd7tdvHE4VOZs+b3GI2Fw6Lp+pspyCpT8HRwczK+NzqLf72NacflWvV5ndRrJnfql\nw8PDo6MjqDVieIRCIejO01FEM9LPR/DsJK6BgY1aXNxUOp22ysgJgrC0tDSZTNyd6izpL4B6dBcP\nh8/ny2Qye3t7tvfl8/lODTNb30UgEIjH48jzpwcRDcWa6u4GO7fBAS7qxcVF3BQhZDgcctxTm5ub\nPp/PZfNECIGK7NHREZ5kKpWSJEkURXZ37iQ4SZHNZkH12O125x8Rh4eH9XqdLnvLy8u2xlw2m43F\nYvv7+7SFjUbD7/cvLy+3Wi3O0gL/ysrKCu0GrVbrwoULWGIJsx3nwKbuDodDNsNRVdVms4kiDo53\nbjKZHB0dYSPIZWl0u12XbN/19fVqtXq+skx3QLUAN2v7PHd2dlKpFI2mqaqq67qqqrC2w+HwaDRi\nNXudgPO5oWQ7QNxNEPCOb29vn5qyVigUZFnGBOJyGvKs3S/Fgl6tXC4jexR/Iv0lHA4nk0nuNqkt\nAn2JjY0NcEaz59AMzVwuFwqFaHfq9XqZTAaEdYSQnZ2d+VtrW9ZE/8/ZtfSynU4nl8vpui6KYiqV\n2tnZsXZLVrnJBYZh0L1Hp9N57LHHXJLw7iceCYODUvGc9YvBYBCCBe5UWrBPnQIZp/oVdnd3qaAr\ncHJygjkONdbIy4PDg9g5GwRB2Nzc3N7ePtMWbTAY2DowMbBZJ0GlUoG2BThJcRD1jacWztg6D9x9\nTt1u1+WBn5VrYW1tjTCL8XQ6pW2u1Wq9Xo9zwMxDdHYmgDtLURS8R2tae7VanUfOcWtri661CBWv\nr6+DnhVkzC4zESgI6TJ8Vvub40QCaR7+pI8L+fOwQQmjSOySiMANycFggAidaZpO1sbKygpYFIml\ncgoTN6wczu3Hysezxj2u6USCApnNUqkEni52vZmHyITccQY4hQk6nc5kMsG7sM1vODk5QSGx9bvz\nR7Ww0rB9A5LLdDETBAHlSOio1iskEglsvuepkgsGgzS5ytb5evnyZULI1tbWuXlxRqPRjRs3sPT2\nej3YrMhxZgN/5M7ejPUsrq+vs2NtNptRJ9/R0RG3OcQTjkQi+Xx+nteNl4idAAJ29CPbMmYO4/F4\nZ2cH91Wv11knXzQaNU2TTf51B7cQjEajR8XgMAzj05/+dLfbXVhYeP/73+9y8N6BpeWhgA3u0o00\nTcOWFMv57u6uk59jNpudVUGbA1LGKDcLxxmF/9y8efPSpUvdbrfdbkuSBH6OXq+HEglolZ0aGuAA\nlXPEFLk8Mm5RpKsyCDkIIeAxPJ+zTtf1UxV0zwEYSazFkEgkuH0/a0zYakTd3bw54ObNm7bJGcCc\nj8LqZdnf319cXEylUnTjS0W0WU8AVNDot9wttnw+z7K02TYjEAgsLi6CpYAuQru7u1euXEFOw5xZ\nU+FwmPV8oBbd5/M5fR2WfTwedw+4WN8pez5MGfi0UqmUNaMcFY/Uj0gIqVardHWUJGl1dVUQBMqh\nyWJtbY01TeAMoHLN3H2x7x0+DG4NNk0TZKzT6RSyADheq9VYk1FVVUEQnJ4JTA2/33/hwoVWq+Xz\n+aLRKDvY3TUadV2ndoO7WZzJZLC6489Op2NrEsFh5nKdOYueKpXK8vIyN6bY9ZiWcrB9rNlsslQl\n3JiyUnEQQlqtFrfMLy4uInOIWz5CoVAgEGi327QUkdoc6FGoC3O3PHq9nnXngFo8QgjI15HFgo8a\njUar1YLoT6/Xm81msViMy9u4i4qSrxD3XLztueeeM03z137t1770pS8tLy9jfbI9SHHXxdsqlQrb\nL6FjidxPWZZlWYafje3l0Wh0cXGRvlRBENxJ8e4Kut0ulFDa7batBVOtVlut1nA4hPSUKIrYKLTb\n7el0mkwmncQMXYCKNSxI8+w5gsEgPW00GuVyOcMwnJZSW+23fD4fjUYhPEE/BWMjN/7PJweKsCv8\nq+12G8sYTdKG04ieLEnSuRVHXWC9l3vxK4ZhnJycpFIpWZbxc4qiZDIZ1KrQngChDfotzFxO7zoa\njWYymVAohGosq5VjmmatVkM/5EaEpmk3b95k2cOcIIpiqVSCvjb9CXBXSJJEc544FItFWZZ9Ph+7\n1YYCC/vAI5EIxzoA5WH8Hy9iNptFIpFCoeD3+9lPl5aWwGfA+hEPDg5oRzVNExIw3CKdzWYXFxcD\ngYCtvwQsdu7PBAuG9TjqnrrdLvjCu90ut68IBoNotq7r4/GYe2WIu5E7Q4xmWc1Z2CXLMl014cQa\nDAa299Lr9QqFAvtqbE87dRZNJpPzLAHQHGFNXqgERCIRCLPBACIv97EhLEX/5JRpnQhOQqEQJjrs\n9JCeEovFMpkMqrdwGleaS4USCSF+vz8SiWQyGV3X4/G4i4WHOlhoH+IINYtPTk52dnaazWa1Wo3F\nYmDN2dnZgQxhs9ns9Xr9fr9er4PUjnYGWCR3nd381SjeduPGjUuXLhFCVlZWbty4AQ5B24PXrl2D\n3b2xsXF3RXVDoRBr0bMR2dFo9OSTTxJCID0AEwQuR64NyWTyXvNuEUIg/jTP7YOOif5Zq9UWFxex\nkJ81983n8wUCgWKxGAqFsKNiP+XUy7hOJsvy6uoqZVSTZbnRaNRqtWAwmEgkjo6OOMcJkrNwWTYJ\nS5Kkzc3Nw8NDNmwZCoXOl9oGJVJMBMhbpM7STCZD9yXpdDoej9+8edN2Sw0KcCsfs7tJFwwGFxYW\nMMu88MIL92FvMZlMoFrJHpRl+YknnkB/tnanYrEYi8XG43GlUmEXOUgHo0qCEBKLxXZ3d+c3YeeP\nWiJXt9/vc0tsrVZjLdRgMLi2tmYYBpQ1sMPmunepVAqFQqZpgtEEmotcEeDi4qIsy9gd0uWBks0s\nLy+3222YIKdWD/p8Pqt3enl5mWM0OQcymQzyZ51OcNLsyOVykiRBZNW6kum6bm0wl+PiAvhT6Z/Z\nbLbX67EibezraDQa89PAAGywGznRpVLJ7/efWsWGNCaOAhw0bpzXanV1FeS8INHi7n15eblSqcBu\ncDKU4/E4THDrR2DHH41GkUjEGgqpVCo0CY8CcoCsmweSlq1Wi7IMCILw1FNP1Wo1SZKoocDmHrVa\nrXw+75RbNhqN4Aikd1Qul+cvL7h3uOcGR7/fxxNMJBJ0orc9+MUvfhHElJ/97GfvbtHwysoK3ACE\nkNXV1Wq1ylrZ9HXaljKzp0UikWazKcsyeIIhMn716lWum2LLRVdKmMPoK/F4HAsenBPWX0Gv1XWd\nzvIu+YyaptH5JRaL4UZe97rXUdlDOi8oigItunq9zjFmEkKKxSKmclVVoWK6tbWF9xKLxdbX1ykl\nAHbPg8EA08Hq6ioXEUerSqUS/m+aJmdw4Abxf3a2grxQJpNhDY5YLHa+fL14PM7+LoRq8X9VVcGG\ngix0n8+XSCSeffZZ60WwceTIUk81OMLhMGUZCQaDtnu1UCiEFffg4IBtJ5Z5FOkcHx+jx8ZisWKx\nuL297bQURSIRSZLmX0IAPJBYLPb888/jyObmZiqV4qyTUqk0v8HBRq9isdjly5d7vV6z2VQUhQtA\nLC4uouCCuwIkRumfoVDIupBzKy5NXnHnUsRqcXx8TN0n+Xye9gr37xYKBZqJRQcarUmOx+OsJueF\nCxegZgL+kps3b9LrXLlyJRAIyLJ869YtjKALFy5goOVyOVmWr1y58uKLL9IXjUFBnz9qcFKpFHvN\nN7zhDZxBQBc8v9+/tLSUz+etFqdLCJhLT0kmk9zOOJ/P0067sbHBDhBBENbW1lKp1Gg0Oj4+Zm/E\n5/NZN0IrKyu6rr/wwgv0T7haNzY2SqUSFm/sHLLZbCgUAgV+IBBIJBKQmuPmXriruV/BxILtkO1e\nDjP/Sy+9ZDU4JEm6cuWKu2+A7TwbGxvXrl1jhyrWC+4rFy5cKJfLg8FA13Xb0iqIzLnEsKgem23t\nDKZZ9uu03z5YnFnu6Kz43Oc+d/ny5aeeeuoLX/hCOp1+y1ve4nSQwsXddD4Eg0FRFE9OTkRRFEVx\nOBzSyuZUKuWkPjAnxuMxLdPw+/3hcLhYLGK/BT1GmFaz2QzuYvaL1Wp1NBqNRiOYFJqmQeYK6uS1\nWi0ajaJ5fr9/b2+PJWCGHPb+/j4G/+rqKud78Pv9t2/fpoIX9Kf7/T4V44Buhe1ahXiHk7sFMiLz\n2IWtOyCEJBKJXC7HhsapebG8vIxxS5mC0uk0vCCYQLm0X6fUTkiJIjmAXhwbepdG9vv9arVqmmYw\nGES5PEL1kiSZpkk5W8GPSRNaaZkPO0eznD+2mX3pdJrlPaPt5I4TQsbjMZJs0CVQT4EUCr/fj29h\nS2QN/88P0zShDmX7olmlNLZEgr4LehAk1rRKhb5QYDabdTodmOmyLGPPZ5rm3t4eXb3C4XAul6OU\nboQQroCLNml/fx+WKKyxM90vQu/QN57fk4pIORIp6LeQXREKhbjroAYSKx+WXrhP5vGCsHwhiDqV\ny2XwN2SzWQShxuMxiodBuM5dbdRgwAAACsBJREFUoVqt1ut1BK2sn1LQgYZaLWgbSZIUCAQGg0Gt\nVkPtNHiyue+Ox+PBYADhITahhE3JRKHEcDgMBoMIT2NKxJMHSzdSDZDxgAx9azvh9nDyLrPUzJFI\nxL0k0B2NRoOGwzCinTRi3HFXmgQ6VM4uZFtIC0/a7Xaz2US8DPlbNBfQMAxKwcyNx7uCc7CX3nOD\n4+tf//rR0dHP//zP/4//8T/e8573YO9re5DiXhgckiSxyxWYAaHb+8qvD9oJQRCocOJZMRgMUF7v\nMgOaptloNKbTKWcRW7nqAEVRwGNhK8fsMsLvJ6DpxRnjhmFgZcKfYJQXBMEwDJAhQkuJEn6gEAAc\n2AsLC/V6HZtgJHDAnXCmVrEJg1YYhoHXTekCyZ1SFE3TuEeKR60oSjAYpDdi/TnyCjRTCLPq3yMM\nBgO638LDMU0TSiKEkMlkwt4XMu/mvx0Yjqy5jPXMVkCR4hzasP9/wWg0wu1bKZvu7ot+5R0PGA6H\no9FIVdV7ITPpbnCQO7LGfr/fGgc/K5DNgyTcV3IdmNd+v3/O+LgVtgYHIWQymUC3cs7LmqaJ8Xgv\nmEZfjQaHYRjPPPPMZDJJp9Pve9/7rl+//rd/+7cf+MAH2IPcV+6DwfEoAAbHqyc/+f4gmUxSg+PR\nwb02OF6FQETmrieYv8rxCL7oUw2OhxJOBserCq9Gg+Mc8AyOuwLP4Hh08AiuQ57B8YjAMzhetTiH\nwfGqEHTx4MGDBw8ePDzc8AwODx48ePDgwcM9h2dwePDgwYMHDx7uOTyDw4MHDx48ePBwz+EZHB48\nePDgwYOHew7P4PDgwYMHDx483HN4BocHDx48ePDg4Z7DMzg8ePDgwYMHD/ccnsHhwYMHDx48eLjn\n8AwODx48ePDgwcM9h2dwePDgwYMHDx7uOTyDw4MHDx48ePBwz+EZHB48ePDgwYOHe45Xo1rsXceX\nvvSll1566SMf+ciDboiHe453vetdf/RHfxSNRh90QzzcW3zuc58TRfEXf/EXH3RDPNxbnJyc/Oqv\n/uqf/umfPuiGeLgLEB90A+4Her1eo9F40K3wcD9weHj4qGnTP5pot9uSJD3oVni455hOp0dHRw+6\nFR7uDh4Jg0NV1Vgs9qBb4eF+IJ/P+/1eoPDhh67rovhITF+POARByOVyD7oVHu4OHomQigcPHjx4\n8ODhwcLbC3rw4MGDBw8e7jkefp+kYRif/vSnu93uwsLC+9///gfdHA93GR//+Mc//OEPB4NB7kV7\n7/2hQb/f/8QnPmEYhqqqH/3oR/1+v/eiH1Y0Go1PfvKTPp8vk8n8xm/8xnQ69d71w4SH38Pxz//8\nz/l8/nd/93ePjo729/cfdHM83DV0u92PfOQj3/jGN/An96K99/7Q4Gtf+9oTTzzxiU98YnV19R/+\n4R+8F/0Q4+/+7u/e9ra3feITnxiNRrdv3/be9UOGh9/guHHjxsrKCiFkZWXlxo0bD7o5Hu4aNE37\n5Cc/+fjjj+NP7kV77/2hwfr6+pvf/GZCiKZpkiR5L/ohxk/8xE+86U1vOjk5abfb0WjUe9cPGR5+\ng6Pf7yeTSUJIIpHodrsPujke7ib8fr/P58P/uRftvfeHBhsbG4lE4pvf/OZzzz331FNPeS/6IUY2\nm/X7/Z/61KdM01RV1XvXDxkefoMjFArVajVCSK1W0zTtQTfHw70C96K99/4w4c/+7M++/vWv//Zv\n/3YoFPJe9EMM0zRlWf7Upz5VKBSeffZZ710/ZHj4DY719fXt7W1CyO7u7tra2oNujod7Be5Fe+/9\nocE//dM/dbvd3/zN31RVlXgv+qHGZz7zmatXrxJCYrGY3+/33vVDhoefh8MwjGeeeWYymaTT6fe9\n730Pujke7jJ+53d+57d+67dQpcK+aO+9PzT4gz/4gx/84AeKohBCfuZnfuaNb3yj96IfVuzt7X3m\nM59RFEXTtA996EM+n8971w8THn6Dw4MHDx48ePDwwPHwh1Q8ePDgwYMHDw8cnsHhwYMHDx48eLjn\n8AwODx48ePDgwcM9h2dwePDgwYMHDx7uOTyDw4MHDx48ePBwz+EZHB48PKI4Pj5OpVLskXA4DGIl\nF3zhC1946qmn7koDfuVXfmUwGLBHPvnJT/7+7//++a72x3/8x3/zN39zN9rlwYOHewLP4PDgwcNc\nmE6n9Xr9p3/6p//8z//8lV/tueeey+fzYNe4K3jPe97zzDPPzGazu3VBDx483F14BocHDx54fOxj\nHwOx4+/93u8RQp599tl3v/vdr3nNa/7wD//wu9/97oc//OHPf/7zr33ta1/72teurKw89thjTt/6\nhV/4hY9+9KPvete73v3ud/d6PfYnPv7xj3/gAx8ghEwmkw9+8INLS0tPP/30d7/7XUKIaZq//uu/\nXigULl269KEPfcg0zV/+5V/+/Oc/TwiZTqeLi4vVarXdbv/sz/5sqVRaX1//6le/SgiRJOn1r3/9\nX/7lX97fR+XBg4d5IT7oBnjw4OGBoV6vl0ol+idsgr/+67/+8pe/jLX/LW95y9NPP61p2pe//OXn\nn39+ZWXl2WefJYS8973vfe973zudTt/+9rd/8IMfdPrWX/zFXxwcHMRisXe+851f+cpX3vnOd9Lf\n2t7ezmazhJDPfvaz29vb169fbzabTz311Otf//rvfe97N27cAIn1pUuXPvjBD7773e9+5pln3vve\n937lK1953etel0ql/tf/+v/au2OQZMIwDuCPpzW5nIMNCUmLS3BkGBRSh1PZRSgYIkkFDVFOBdFS\nSSi0FTh8ODVokI26CCoYKdIgVxBIswUFEURDByp9wwuHfVFffB9HQv/fJMfz+MoLwv9ejnt+8Txf\nr9fz+Xw6nXa5XEQkCML5+Xn7KgDQOXDCAfBzmUymehs2rKRYLM7Pz7MxaXNzc8VikYhGR0fZZPB2\nGxsbdrvd5/N91DUyMsLzPBH19/criqI23tzcsLGfRHR6erqystLd3W02m2dnZ4loYGAgkUjkcrlo\nNHp3d6coisvlkmX56ekpkUgsLCyw33N2dra1tWU0Gg8ODthX2Wy2i4sLLTcMAP4dAgcAvPH6+qrT\n6dhnnU7XarWIiGWRdqlUqlqt7u3tfdJlMpn+uhzHcWqjXq8nokqlIopirVabmpoaHBxk1yVJOjo6\nKpfLk5OTRCQIgizLvb294XDY6/Wq6+IZDoCOhcABAG+Mj48nk0lFUV5eXpLJpCiK72uurq62t7dT\nqZTBYPh6l8pisTw8PKiN8Xi82Ww+Pj6yx1Hz+fz09PT6+npPT0+tVms0GkTk9/s3Nzc9Hk9XVxcR\n7e7u7u/vLy8vHx4e5nI5NhPq+vqaBRQA6EAIHADwhiRJoigKgiAIwsTEhNvtfl8TiUSen58lSXI4\nHA6Ho9Vqfd7FcZwaTZi+vr77+3siWlxctFgsNpvN7XYHg0Ge5wOBgCzLQ0NDa2trq6ur4XCYiJxO\np16vV2eEBoPBbDZrtVrHxsZisRg7I7m8vBweHtZmVwDgf2FaLAB8g1KpVCgUdnZ2vlgvy/LS0lK1\nWv2ooNlszszMZDIZjsN9FEAnwj8TAL6B0+m8vb3948VfHzk5OfH5fLFY7JOa4+PjUCiEtAHQsXDC\nAQAAAJrD3QAAAABoDoEDAAAANIfAAQAAAJpD4AAAAADNIXAAAACA5n4D4qtKPRT75JMAAAAASUVO\nRK5CYII=\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -w 10 -h 6 -u in\n",
    "plot_cross_validation_metric(df.cv, metric = 'mape')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Mmr63ur+n02nlfvPz83A4HGhubkY8HkdDQ0NZwP9Gg4KMrBm5QwLA0NCQLYKJ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\nEUmzPwHkj0gdJurnvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fbprophet.plot import plot_cross_validation_metric\n",
    "fig = plot_cross_validation_metric(df_cv, metric='mape')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The size of the rolling window in the figure can be changed with the optional argument `rolling_window`, which specifies the proportion of forecasts to use in each rolling window. The default is 0.1, corresponding to 10% of rows from `df_cv` included in each window; increasing this will lead to a smoother average curve in the figure.\n",
    "\n",
    "The `initial` period should be long enough to capture all of the components of the model, in particular seasonalities and extra regressors: at least a year for yearly seasonality, at least a week for weekly seasonality, etc."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
